Grade 5 Algebra Worksheets | Free Math Worksheets - Free Printable

Let's solve each equation step by step to find the value of y. We'll go through all 20 problems.

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1. 12y = 108

Divide both sides by 12:
$$ y = \frac{108}{12} = 9 $$

✔ y = 9

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2. 9y = 54

Divide both sides by 9:
$$ y = \frac{54}{9} = 6 $$

✔ y = 6

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3. 11y = 99

Divide both sides by 11:
$$ y = \frac{99}{11} = 9 $$

✔ y = 9

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4. 14y = 28

Divide both sides by 14:
$$ y = \frac{28}{14} = 2 $$

✔ y = 2

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5. 9y = 45

Divide both sides by 9:
$$ y = \frac{45}{9} = 5 $$

✔ y = 5

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6. 7y = 42

Divide both sides by 7:
$$ y = \frac{42}{7} = 6 $$

✔ y = 6

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7. 10y = 80

Divide both sides by 10:
$$ y = \frac{80}{10} = 8 $$

✔ y = 8

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8. 15y = 45

Divide both sides by 15:
$$ y = \frac{45}{15} = 3 $$

✔ y = 3

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9. 6y = 48

Divide both sides by 6:
$$ y = \frac{48}{6} = 8 $$

✔ y = 8

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10. 5y = 55

Divide both sides by 5:
$$ y = \frac{55}{5} = 11 $$

✔ y = 11

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11. 6y + 15 = 45

Subtract 15 from both sides:
$$ 6y = 45 - 15 = 30 $$
Now divide by 6:
$$ y = \frac{30}{6} = 5 $$

✔ y = 5

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12. 9y + 15 = 60

Subtract 15:
$$ 9y = 60 - 15 = 45 $$
Divide by 9:
$$ y = \frac{45}{9} = 5 $$

✔ y = 5

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13. 4y + 13 = 33

Subtract 13:
$$ 4y = 33 - 13 = 20 $$
Divide by 4:
$$ y = \frac{20}{4} = 5 $$

✔ y = 5

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14. 7y + 8 = 50

Subtract 8:
$$ 7y = 50 - 8 = 42 $$
Divide by 7:
$$ y = \frac{42}{7} = 6 $$

✔ y = 6

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15. 5y + 19 = 79

Subtract 19:
$$ 5y = 79 - 19 = 60 $$
Divide by 5:
$$ y = \frac{60}{5} = 12 $$

✔ y = 12

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16. 12y - 12 = 48

Add 12 to both sides:
$$ 12y = 48 + 12 = 60 $$
Divide by 12:
$$ y = \frac{60}{12} = 5 $$

✔ y = 5

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17. 8y - 13 = 27

Add 13:
$$ 8y = 27 + 13 = 40 $$
Divide by 8:
$$ y = \frac{40}{8} = 5 $$

✔ y = 5

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18. 5y - 10 = 15

Add 10:
$$ 5y = 15 + 10 = 25 $$
Divide by 5:
$$ y = \frac{25}{5} = 5 $$

✔ y = 5

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19. 3y - 13 = 20

Add 13:
$$ 3y = 20 + 13 = 33 $$
Divide by 3:
$$ y = \frac{33}{3} = 11 $$

✔ y = 11

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20. 6y - 12 = 60

Add 12:
$$ 6y = 60 + 12 = 72 $$
Divide by 6:
$$ y = \frac{72}{6} = 12 $$

✔ y = 12

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✔ Final Answers:

| Problem | Value of y |
|--------|------------|
| 1 | 9 |
| 2 | 6 |
| 3 | 9 |
| 4 | 2 |
| 5 | 5 |
| 6 | 6 |
| 7 | 8 |
| 8 | 3 |
| 9 | 8 |
| 10 | 11 |
| 11 | 5 |
| 12 | 5 |
| 13 | 5 |
| 14 | 6 |
| 15 | 12 |
| 16 | 5 |
| 17 | 5 |
| 18 | 5 |
| 19 | 11 |
| 20 | 12 |

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🔍 Summary:

- The most common value is y = 5, appearing in multiple equations.
- All problems involve basic algebraic operations: isolating the variable by adding/subtracting and dividing.
- Always check your work by plugging the answer back into the original equation.

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