Printable algebra worksheet for solving linear equations.

Let's solve each equation in the worksheet step by step. All of these equations are of the form:

a = y - b, or a = b - y

We need to solve for y in each case.

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🔧 General Strategy:

To solve for y, we can rearrange the equation using algebraic operations.

For example:
- If 4 = y - 2, then add 2 to both sides:
$ y = 4 + 2 = 6 $
- If 3 = 7 - y, then subtract 7 from both sides:
$ 3 - 7 = -y \Rightarrow -4 = -y \Rightarrow y = 4 $

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Now, let’s go through all 64 problems and solve them one by one.

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1. 4 = y - 4
→ y = 4 + 4 = 8

2. 4 = y - 2
→ y = 4 + 2 = 6

3. 3 = y - 2
→ y = 3 + 2 = 5

4. 4 = y - 5
→ y = 4 + 5 = 9

5. 3 = 9 - y
→ y = 9 - 3 = 6

6. 3 = 7 - y
→ y = 7 - 3 = 4

7. 4 = y - 1
→ y = 4 + 1 = 5

8. 7 = y - 2
→ y = 7 + 2 = 9

9. 1 = 8 - y
→ y = 8 - 1 = 7

10. 2 = 3 - y
→ y = 3 - 2 = 1

11. 7 = y - 1
→ y = 7 + 1 = 8

12. 2 = 8 - y
→ y = 8 - 2 = 6

13. 2 = 9 - y
→ y = 9 - 2 = 7

14. 3 = 7 - y
→ y = 7 - 3 = 4

15. 8 = y - 1
→ y = 8 + 1 = 9

16. 3 = 4 - y
→ y = 4 - 3 = 1

17. 2 = 9 - y
→ y = 9 - 2 = 7

18. 6 = 7 - y
→ y = 7 - 6 = 1

19. 5 = y - 3
→ y = 5 + 3 = 8

20. 0 = 6 - y
→ y = 6 - 0 = 6

21. 4 = y - 3
→ y = 4 + 3 = 7

22. 1 = 8 - y
→ y = 8 - 1 = 7

23. 4 = 7 - y
→ y = 7 - 4 = 3

24. 1 = y - 5
→ y = 1 + 5 = 6

25. 3 = y - 5
→ y = 3 + 5 = 8

26. 6 = 9 - y
→ y = 9 - 6 = 3

27. 2 = y - 5
→ y = 2 + 5 = 7

28. 0 = y - 2
→ y = 0 + 2 = 2

29. 5 = y - 3
→ y = 5 + 3 = 8

30. 5 = 7 - y
→ y = 7 - 5 = 2

31. 1 = 5 - y
→ y = 5 - 1 = 4

32. 2 = y - 2
→ y = 2 + 2 = 4

33. 1 = y - 2
→ y = 1 + 2 = 3

34. 0 = y - 7
→ y = 0 + 7 = 7

35. 4 = 5 - y
→ y = 5 - 4 = 1

36. 2 = y - 3
→ y = 2 + 3 = 5

37. 0 = y - 9
→ y = 0 + 9 = 9

38. 3 = 6 - y
→ y = 6 - 3 = 3

39. 2 = y - 5
→ y = 2 + 5 = 7

40. 4 = 9 - y
→ y = 9 - 4 = 5

41. 4 = 6 - y
→ y = 6 - 4 = 2

42. 3 = y - 6
→ y = 3 + 6 = 9

43. 2 = 8 - y
→ y = 8 - 2 = 6

44. 1 = y - 1
→ y = 1 + 1 = 2

45. 5 = y - 1
→ y = 5 + 1 = 6

46. 2 = 6 - y
→ y = 6 - 2 = 4

47. 6 = y - 3
→ y = 6 + 3 = 9

48. 2 = 5 - y
→ y = 5 - 2 = 3

49. 3 = 4 - y
→ y = 4 - 3 = 1

50. 2 = y - 4
→ y = 2 + 4 = 6

51. 0 = y - 3
→ y = 0 + 3 = 3

52. 3 = y - 3
→ y = 3 + 3 = 6

53. 1 = 5 - y
→ y = 5 - 1 = 4

54. 8 = y - 1
→ y = 8 + 1 = 9

55. 1 = y - 5
→ y = 1 + 5 = 6

56. 4 = y - 4
→ y = 4 + 4 = 8

57. 7 = 8 - y
→ y = 8 - 7 = 1

58. 3 = 5 - y
→ y = 5 - 3 = 2

59. 2 = 4 - y
→ y = 4 - 2 = 2

60. 5 = y - 4
→ y = 5 + 4 = 9

61. 3 = 8 - y
→ y = 8 - 3 = 5

62. 0 = 5 - y
→ y = 5 - 0 = 5

63. 6 = 8 - y
→ y = 8 - 6 = 2

64. 0 = y - 4
→ y = 0 + 4 = 4

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✔ Final Answers (in order):

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

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📝 Summary:

All problems involve solving simple linear equations for y. The key is recognizing whether y is being subtracted from a number or a number is being subtracted from y, and then isolating y using addition or subtraction.

Let me know if you'd like this formatted as a printable answer sheet!