Let’s solve each equation one by one to find the value of
y.
We’ll go step by step for all 20 problems. Remember: to solve for y, we want to get y alone on one side of the equals sign.
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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 let’s do the ones with addition or subtraction first — we need to move the number to the other side before dividing.
11. 5y + 15 = 65
Subtract 15 from both sides:
5y = 65 - 15 = 50
Then divide by 5:
y = 50 ÷ 5 =
10
12. 9y + 20 = 83
Subtract 20 from both sides:
9y = 83 - 20 = 63
Divide by 9:
y = 63 ÷ 9 =
7
13. 7y + 9 = 44
Subtract 9:
7y = 44 - 9 = 35
Divide by 7:
y = 35 ÷ 7 =
5
14. 4y + 18 = 34
Subtract 18:
4y = 34 - 18 = 16
Divide by 4:
y = 16 ÷ 4 =
4
15. 6y + 40 = 100
Subtract 40:
6y = 100 - 40 = 60
Divide by 6:
y = 60 ÷ 6 =
10
16. 12y - 15 = 45
Add 15 to both sides:
12y = 45 + 15 = 60
Divide by 12:
y = 60 ÷ 12 =
5
17. 8y - 22 = 42
Add 22:
8y = 42 + 22 = 64
Divide by 8:
y = 64 ÷ 8 =
8
18. 5y - 8 = 27
Add 8:
5y = 27 + 8 = 35
Divide by 5:
y = 35 ÷ 5 =
7
19. 11y - 13 = 53
Add 13:
11y = 53 + 13 = 66
Divide by 11:
y = 66 ÷ 11 =
6
20. 3y - 24 = 0
Add 24:
3y = 0 + 24 = 24
Divide by 3:
y = 24 ÷ 3 =
8
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✔ All answers checked and verified.
Final Answer:
1. 9
2. 9
3. 11
4. 12
5. 6
6. 5
7. 16
8. 8
9. 8
10. 9
11. 10
12. 7
13. 5
14. 4
15. 10
16. 5
17. 8
18. 7
19. 6
20. 8
Parent Tip: Review the logic above to help your child master the concept of 5th grade math expressions worksheet.
