Let’s solve each problem one by one. We’re finding the value of
y in each equation.
---
1. 12y = 108
Divide both sides by 12:
y = 108 ÷ 12 =
9
2. 9y = 54
y = 54 ÷ 9 =
6
3. 11y = 99
y = 99 ÷ 11 =
9
4. 14y = 28
y = 28 ÷ 14 =
2
5. 9y = 45
y = 45 ÷ 9 =
5
6. 7y = 42
y = 42 ÷ 7 =
6
7. 10y = 80
y = 80 ÷ 10 =
8
8. 15y = 45
y = 45 ÷ 15 =
3
9. 6y = 48
y = 48 ÷ 6 =
8
10. 5y = 55
y = 55 ÷ 5 =
11
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Now the second column — these have addition or subtraction too. We need to isolate y first.
11. 6y + 15 = 45
Subtract 15 from both sides:
6y = 30
y = 30 ÷ 6 =
5
12. 9y + 15 = 60
Subtract 15:
9y = 45
y = 45 ÷ 9 =
5
13. 4y + 13 = 33
Subtract 13:
4y = 20
y = 20 ÷ 4 =
5
14. 7y + 8 = 50
Subtract 8:
7y = 42
y = 42 ÷ 7 =
6
15. 5y + 19 = 79
Subtract 19:
5y = 60
y = 60 ÷ 5 =
12
16. 12y - 12 = 48
Add 12 to both sides:
12y = 60
y = 60 ÷ 12 =
5
17. 8y - 13 = 27
Add 13:
8y = 40
y = 40 ÷ 8 =
5
18. 5y - 10 = 15
Add 10:
5y = 25
y = 25 ÷ 5 =
5
19. 3y - 13 = 20
Add 13:
3y = 33
y = 33 ÷ 3 =
11
20. 6y - 12 = 60
Add 12:
6y = 72
y = 72 ÷ 6 =
12
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All answers checked and verified.
Final Answer:
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
Parent Tip: Review the logic above to help your child master the concept of algebra for 6th grade worksheet.
