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Worksheet solving basic algebra | Basic algebra, Basic algebra ... - Free Printable

Worksheet solving basic algebra | Basic algebra, Basic algebra ...

Educational worksheet: Worksheet solving basic algebra | Basic algebra, Basic algebra .... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Worksheet solving basic algebra | Basic algebra, Basic algebra ...
Let's solve each equation for the variable $ y $. We'll go through them step by step, showing how to isolate $ y $ on one side of the equation.

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General Steps:


1. Simplify both sides if needed.
2. Move all terms with $ y $ to one side and constants to the other.
3. Combine like terms.
4. Divide both sides by the coefficient of $ y $ to solve for $ y $.

We’ll solve each equation:

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1. $ 1y + 8 = 17 $
Subtract 8:
$ y = 17 - 8 = 9 $
$ y = 9 $

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2. $ 59 = 8y + 3 $
Subtract 3:
$ 56 = 8y $
Divide by 8:
$ y = 7 $
$ y = 7 $

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3. $ 54 = 9 + 9y $
Subtract 9:
$ 45 = 9y $
Divide by 9:
$ y = 5 $
$ y = 5 $

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4. $ 2 + 8y = 34 $
Subtract 2:
$ 8y = 32 $
Divide by 8:
$ y = 4 $
$ y = 4 $

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5. $ 61 = 5 + 7y $
Subtract 5:
$ 56 = 7y $
Divide by 7:
$ y = 8 $
$ y = 8 $

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6. $ 5y + 7 = 47 $
Subtract 7:
$ 5y = 40 $
Divide by 5:
$ y = 8 $
$ y = 8 $

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7. $ 9 = 8 + 1y $
Subtract 8:
$ y = 1 $
$ y = 1 $

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8. $ 7 = 3y + 1 $
Subtract 1:
$ 6 = 3y $
Divide by 3:
$ y = 2 $
$ y = 2 $

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9. $ 2y + 1 = 7 $
Subtract 1:
$ 2y = 6 $
Divide by 2:
$ y = 3 $
$ y = 3 $

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10. $ 4 + 4y = 16 $
Subtract 4:
$ 4y = 12 $
Divide by 4:
$ y = 3 $
$ y = 3 $

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11. $ 2y + 9 = 17 $
Subtract 9:
$ 2y = 8 $
Divide by 2:
$ y = 4 $
$ y = 4 $

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12. $ 4y + 7 = 15 $
Subtract 7:
$ 4y = 8 $
Divide by 4:
$ y = 2 $
$ y = 2 $

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13. $ 13 = 2y + 3 $
Subtract 3:
$ 10 = 2y $
Divide by 2:
$ y = 5 $
$ y = 5 $

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14. $ 7y + 4 = 60 $
Subtract 4:
$ 7y = 56 $
Divide by 7:
$ y = 8 $
$ y = 8 $

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15. $ 1 + 2y = 17 $
Subtract 1:
$ 2y = 16 $
Divide by 2:
$ y = 8 $
$ y = 8 $

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16. $ 35 = 8 + 9y $
Subtract 8:
$ 27 = 9y $
Divide by 9:
$ y = 3 $
$ y = 3 $

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17. $ 1y + 8 = 16 $
Subtract 8:
$ y = 8 $
$ y = 8 $

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18. $ 9 = 2y + 5 $
Subtract 5:
$ 4 = 2y $
Divide by 2:
$ y = 2 $
$ y = 2 $

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19. $ 46 = 6 + 8y $
Subtract 6:
$ 40 = 8y $
Divide by 8:
$ y = 5 $
$ y = 5 $

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20. $ 18 = 4 + 7y $
Subtract 4:
$ 14 = 7y $
Divide by 7:
$ y = 2 $
$ y = 2 $

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21. $ 14 = 4 + 2y $
Subtract 4:
$ 10 = 2y $
Divide by 2:
$ y = 5 $
$ y = 5 $

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22. $ 7y + 2 = 9 $
Subtract 2:
$ 7y = 7 $
Divide by 7:
$ y = 1 $
$ y = 1 $

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23. $ 2y + 6 = 24 $
Subtract 6:
$ 2y = 18 $
Divide by 2:
$ y = 9 $
$ y = 9 $

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24. $ 9y + 7 = 16 $
Subtract 7:
$ 9y = 9 $
Divide by 9:
$ y = 1 $
$ y = 1 $

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25. $ 4 + 2y = 22 $
Subtract 4:
$ 2y = 18 $
Divide by 2:
$ y = 9 $
$ y = 9 $

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26. $ 8y + 5 = 37 $
Subtract 5:
$ 8y = 32 $
Divide by 8:
$ y = 4 $
$ y = 4 $

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27. $ 16 = 9 + 1y $
Subtract 9:
$ y = 7 $
$ y = 7 $

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28. $ 1 + 3y = 4 $
Subtract 1:
$ 3y = 3 $
Divide by 3:
$ y = 1 $
$ y = 1 $

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29. $ 54 = 7y + 5 $
Subtract 5:
$ 49 = 7y $
Divide by 7:
$ y = 7 $
$ y = 7 $

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30. $ 28 = 6y + 4 $
Subtract 4:
$ 24 = 6y $
Divide by 6:
$ y = 4 $
$ y = 4 $

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31. $ 7 + 5y = 22 $
Subtract 7:
$ 5y = 15 $
Divide by 5:
$ y = 3 $
$ y = 3 $

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32. $ 33 = 9 + 3y $
Subtract 9:
$ 24 = 3y $
Divide by 3:
$ y = 8 $
$ y = 8 $

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33. $ 56 = 7 + 7y $
Subtract 7:
$ 49 = 7y $
Divide by 7:
$ y = 7 $
$ y = 7 $

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34. $ 24 = 6 + 6y $
Subtract 6:
$ 18 = 6y $
Divide by 6:
$ y = 3 $
$ y = 3 $

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35. $ 8y + 5 = 13 $
Subtract 5:
$ 8y = 8 $
Divide by 8:
$ y = 1 $
$ y = 1 $

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36. $ 6 + 4y = 22 $
Subtract 6:
$ 4y = 16 $
Divide by 4:
$ y = 4 $
$ y = 4 $

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37. $ 4y + 2 = 10 $
Subtract 2:
$ 4y = 8 $
Divide by 4:
$ y = 2 $
$ y = 2 $

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38. $ 2 + 1y = 10 $
Subtract 2:
$ y = 8 $
$ y = 8 $

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39. $ 27 = 7 + 4y $
Subtract 7:
$ 20 = 4y $
Divide by 4:
$ y = 5 $
$ y = 5 $

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40. $ 16 = 1y + 7 $
Subtract 7:
$ y = 9 $
$ y = 9 $

---

41. $ 3 + 6y = 21 $
Subtract 3:
$ 6y = 18 $
Divide by 6:
$ y = 3 $
$ y = 3 $

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42. $ 41 = 5 + 4y $
Subtract 5:
$ 36 = 4y $
Divide by 4:
$ y = 9 $
$ y = 9 $

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43. $ 37 = 7 + 5y $
Subtract 7:
$ 30 = 5y $
Divide by 5:
$ y = 6 $
$ y = 6 $

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44. $ 8 + 3y = 20 $
Subtract 8:
$ 3y = 12 $
Divide by 3:
$ y = 4 $
$ y = 4 $

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45. $ 8y + 4 = 60 $
Subtract 4:
$ 8y = 56 $
Divide by 8:
$ y = 7 $
$ y = 7 $

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46. $ 6y + 3 = 51 $
Subtract 3:
$ 6y = 48 $
Divide by 6:
$ y = 8 $
$ y = 8 $

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47. $ 19 = 3 + 4y $
Subtract 3:
$ 16 = 4y $
Divide by 4:
$ y = 4 $
$ y = 4 $

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48. $ 64 = 1 + 7y $
Subtract 1:
$ 63 = 7y $
Divide by 7:
$ y = 9 $
$ y = 9 $

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49. $ 52 = 8y + 4 $
Subtract 4:
$ 48 = 8y $
Divide by 8:
$ y = 6 $
$ y = 6 $

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50. $ 9 + 3y = 12 $
Subtract 9:
$ 3y = 3 $
Divide by 3:
$ y = 1 $
$ y = 1 $

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51. $ 7y + 7 = 35 $
Subtract 7:
$ 7y = 28 $
Divide by 7:
$ y = 4 $
$ y = 4 $

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52. $ 36 = 5y + 1 $
Subtract 1:
$ 35 = 5y $
Divide by 5:
$ y = 7 $
$ y = 7 $

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53. $ 3y + 3 = 21 $
Subtract 3:
$ 3y = 18 $
Divide by 3:
$ y = 6 $
$ y = 6 $

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54. $ 8 + 1y = 15 $
Subtract 8:
$ y = 7 $
$ y = 7 $

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55. $ 37 = 2 + 7y $
Subtract 2:
$ 35 = 7y $
Divide by 7:
$ y = 5 $
$ y = 5 $

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56. $ 4 + 3y = 7 $
Subtract 4:
$ 3y = 3 $
Divide by 3:
$ y = 1 $
$ y = 1 $

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57. $ 33 = 8 + 5y $
Subtract 8:
$ 25 = 5y $
Divide by 5:
$ y = 5 $
$ y = 5 $

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58. $ 7y + 1 = 43 $
Subtract 1:
$ 7y = 42 $
Divide by 7:
$ y = 6 $
$ y = 6 $

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59. $ 8y + 3 = 75 $
Subtract 3:
$ 8y = 72 $
Divide by 8:
$ y = 9 $
$ y = 9 $

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60. $ 23 = 2 + 7y $
Subtract 2:
$ 21 = 7y $
Divide by 7:
$ y = 3 $
$ y = 3 $

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61. $ 9y + 2 = 83 $
Subtract 2:
$ 9y = 81 $
Divide by 9:
$ y = 9 $
$ y = 9 $

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62. $ 8 + 4y = 16 $
Subtract 8:
$ 4y = 8 $
Divide by 4:
$ y = 2 $
$ y = 2 $

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63. $ 3y + 6 = 27 $
Subtract 6:
$ 3y = 21 $
Divide by 3:
$ y = 7 $
$ y = 7 $

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64. $ 18 = 1y + 9 $
Subtract 9:
$ y = 9 $
$ y = 9 $

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65. $ 56 = 8 + 8y $
Subtract 8:
$ 48 = 8y $
Divide by 8:
$ y = 6 $
$ y = 6 $

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66. $ 23 = 2 + 3y $
Subtract 2:
$ 21 = 3y $
Divide by 3:
$ y = 7 $
$ y = 7 $

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67. $ 59 = 5 + 9y $
Subtract 5:
$ 54 = 9y $
Divide by 9:
$ y = 6 $
$ y = 6 $

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68. $ 14 = 6 + 4y $
Subtract 6:
$ 8 = 4y $
Divide by 4:
$ y = 2 $
$ y = 2 $

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69. $ 8y + 1 = 41 $
Subtract 1:
$ 8y = 40 $
Divide by 8:
$ y = 5 $
$ y = 5 $

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70. $ 1y + 5 = 10 $
Subtract 5:
$ y = 5 $
$ y = 5 $

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71. $ 1 + 6y = 25 $
Subtract 1:
$ 6y = 24 $
Divide by 6:
$ y = 4 $
$ y = 4 $

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72. $ 8y + 2 = 50 $
Subtract 2:
$ 8y = 48 $
Divide by 8:
$ y = 6 $
$ y = 6 $

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Final Answers (Summary):



| Problem | Answer |
|--------|--------|
| 1 | 9 |
| 2 | 7 |
| 3 | 5 |
| 4 | 4 |
| 5 | 8 |
| 6 | 8 |
| 7 | 1 |
| 8 | 2 |
| 9 | 3 |
| 10 | 3 |
| 11 | 4 |
| 12 | 2 |
| 13 | 5 |
| 14 | 8 |
| 15 | 8 |
| 16 | 3 |
| 17 | 8 |
| 18 | 2 |
| 19 | 5 |
| 20 | 2 |
| 21 | 5 |
| 22 | 1 |
| 23 | 9 |
| 24 | 1 |
| 25 | 9 |
| 26 | 4 |
| 27 | 7 |
| 28 | 1 |
| 29 | 7 |
| 30 | 4 |
| 31 | 3 |
| 32 | 8 |
| 33 | 7 |
| 34 | 3 |
| 35 | 1 |
| 36 | 4 |
| 37 | 2 |
| 38 | 8 |
| 39 | 5 |
| 40 | 9 |
| 41 | 3 |
| 42 | 9 |
| 43 | 6 |
| 44 | 4 |
| 45 | 7 |
| 46 | 8 |
| 47 | 4 |
| 48 | 9 |
| 49 | 6 |
| 50 | 1 |
| 51 | 4 |
| 52 | 7 |
| 53 | 6 |
| 54 | 7 |
| 55 | 5 |
| 56 | 1 |
| 57 | 5 |
| 58 | 6 |
| 59 | 9 |
| 60 | 3 |
| 61 | 9 |
| 62 | 2 |
| 63 | 7 |
| 64 | 9 |
| 65 | 6 |
| 66 | 7 |
| 67 | 6 |
| 68 | 2 |
| 69 | 5 |
| 70 | 5 |
| 71 | 4 |
| 72 | 6 |

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