Here are the step-by-step solutions to find the value of $y$ for each problem on the worksheet.
1. $12y = 108$
Divide both sides by 12:
$y = 108 / 12$
$y = 9$
2. $9y = 54$
Divide both sides by 9:
$y = 54 / 9$
$y = 6$
3. $11y = 99$
Divide both sides by 11:
$y = 99 / 11$
$y = 9$
4. $14y = 28$
Divide both sides by 14:
$y = 28 / 14$
$y = 2$
5. $9y = 45$
Divide both sides by 9:
$y = 45 / 9$
$y = 5$
6. $7y = 42$
Divide both sides by 7:
$y = 42 / 7$
$y = 6$
7. $10y = 80$
Divide both sides by 10:
$y = 80 / 10$
$y = 8$
8. $15y = 45$
Divide both sides by 15:
$y = 45 / 15$
$y = 3$
9. $6y = 48$
Divide both sides by 6:
$y = 48 / 6$
$y = 8$
10. $5y = 55$
Divide both sides by 5:
$y = 55 / 5$
$y = 11$
11. $6y + 15 = 45$
Subtract 15 from both sides:
$6y = 30$
Divide by 6:
$y = 5$
12. $9y + 15 = 60$
Subtract 15 from both sides:
$9y = 45$
Divide by 9:
$y = 5$
13. $4y + 13 = 33$
Subtract 13 from both sides:
$4y = 20$
Divide by 4:
$y = 5$
14. $7y + 8 = 50$
Subtract 8 from both sides:
$7y = 42$
Divide by 7:
$y = 6$
15. $5y + 19 = 79$
Subtract 19 from both sides:
$5y = 60$
Divide by 5:
$y = 12$
16. $12y - 12 = 48$
Add 12 to both sides:
$12y = 60$
Divide by 12:
$y = 5$
17. $8y - 13 = 27$
Add 13 to both sides:
$8y = 40$
Divide by 8:
$y = 5$
18. $5y - 10 = 15$
Add 10 to both sides:
$5y = 25$
Divide by 5:
$y = 5$
19. $3y - 13 = 20$
Add 13 to both sides:
$3y = 33$
Divide by 3:
$y = 11$
20. $6y - 12 = 60$
Add 12 to both sides:
$6y = 72$
Divide by 6:
$y = 12$
Final Answer:
1. y = 9
2. y = 6
3. y = 9
4. y = 2
5. y = 5
6. y = 6
7. y = 8
8. y = 3
9. y = 8
10. y = 11
11. y = 5
12. y = 5
13. y = 5
14. y = 6
15. y = 12
16. y = 5
17. y = 5
18. y = 5
19. y = 11
20. y = 12
Parent Tip: Review the logic above to help your child master the concept of algebra basics worksheet.