Let’s solve each equation step by step to find the value of
y.
We’ll go one problem at a time. Remember: to find y, we need to get it alone on one side of the equals sign. We do this by doing the opposite operation (like dividing if it’s multiplied, or subtracting if something is added).
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1. 3y = 27
Divide both sides by 3 → y = 27 ÷ 3 =
9
2. 9y = 81
Divide both sides by 9 → y = 81 ÷ 9 =
9
3. 12y = 132
Divide both sides by 12 → y = 132 ÷ 12 =
11
4. 6y = 72
Divide both sides by 6 → y = 72 ÷ 6 =
12
5. 20y = 120
Divide both sides by 20 → y = 120 ÷ 20 =
6
6. 15y = 75
Divide both sides by 15 → y = 75 ÷ 15 =
5
7. 10y = 160
Divide both sides by 10 → y = 160 ÷ 10 =
16
8. 9y = 72
Divide both sides by 9 → y = 72 ÷ 9 =
8
9. 11y = 88
Divide both sides by 11 → y = 88 ÷ 11 =
8
10. 4y = 36
Divide both sides by 4 → y = 36 ÷ 4 =
9
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Now for problems with addition or subtraction — first move the number away from y, then divide.
11. 5y + 15 = 65
Subtract 15 from both sides → 5y = 50
Then divide by 5 → y = 50 ÷ 5 =
10
12. 9y + 20 = 83
Subtract 20 → 9y = 63
Divide by 9 → y = 63 ÷ 9 =
7
13. 7y + 9 = 44
Subtract 9 → 7y = 35
Divide by 7 → y = 35 ÷ 7 =
5
14. 4y + 18 = 34
Subtract 18 → 4y = 16
Divide by 4 → y = 16 ÷ 4 =
4
15. 6y + 40 = 100
Subtract 40 → 6y = 60
Divide by 6 → y = 60 ÷ 6 =
10
16. 12y - 15 = 45
Add 15 to both sides → 12y = 60
Divide by 12 → y = 60 ÷ 12 =
5
17. 8y - 22 = 42
Add 22 → 8y = 64
Divide by 8 → y = 64 ÷ 8 =
8
18. 5y - 8 = 27
Add 8 → 5y = 35
Divide by 5 → y = 35 ÷ 5 =
7
19. 11y - 13 = 53
Add 13 → 11y = 66
Divide by 11 → y = 66 ÷ 11 =
6
20. 3y - 24 = 0
Add 24 → 3y = 24
Divide by 3 → y = 24 ÷ 3 =
8
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Final Answer:
1. y = 9
2. y = 9
3. y = 11
4. y = 12
5. y = 6
6. y = 5
7. y = 16
8. y = 8
9. y = 8
10. y = 9
11. y = 10
12. y = 7
13. y = 5
14. y = 4
15. y = 10
16. y = 5
17. y = 8
18. y = 7
19. y = 6
20. y = 8
Parent Tip: Review the logic above to help your child master the concept of math expressions grade 5 worksheet.
