Let’s solve each equation one by one. We’re looking for the value of
y in each case. To find y, we’ll use inverse operations — that means if something is added to y, we subtract it from both sides, and if something is subtracted from y, we add it to both sides.
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1. y + 20 = 26
Subtract 20 from both sides:
y = 26 - 20
y = 6
✔ Check: 6 + 20 = 26 → Correct!
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2. 1 + y = 16
Subtract 1 from both sides:
y = 16 - 1
y = 15
✔ Check: 1 + 15 = 16 → Correct!
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3. y + 5 = 14
Subtract 5 from both sides:
y = 14 - 5
y = 9
✔ Check: 9 + 5 = 14 → Correct!
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4. y + 20 = 23
Subtract 20 from both sides:
y = 23 - 20
y = 3
✔ Check: 3 + 20 = 23 → Correct!
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5. 18 - y = 0
We want to get y alone. Let’s add y to both sides first:
18 = y
Or just think: “What number subtracted from 18 gives 0?” → That’s 18.
So, y = 18
✔ Check: 18 - 18 = 0 → Correct!
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6. 10 - y = 6
Add y to both sides:
10 = 6 + y
Now subtract 6 from both sides:
10 - 6 = y
y = 4
✔ Check: 10 - 4 = 6 → Correct!
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7. y - 6 = 8
Add 6 to both sides:
y = 8 + 6
y = 14
✔ Check: 14 - 6 = 8 → Correct!
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8. y + 15 = 20
Subtract 15 from both sides:
y = 20 - 15
y = 5
✔ Check: 5 + 15 = 20 → Correct!
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9. 4 - y = -16
Add y to both sides:
4 = -16 + y
Now add 16 to both sides:
4 + 16 = y
y = 20
✔ Check: 4 - 20 = -16 → Correct!
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10. y + 8 = 13
Subtract 8 from both sides:
y = 13 - 8
y = 5
✔ Check: 5 + 8 = 13 → Correct!
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Final Answer:
1. y = 6
2. y = 15
3. y = 9
4. y = 3
5. y = 18
6. y = 4
7. y = 14
8. y = 5
9. y = 20
10. y = 5
Parent Tip: Review the logic above to help your child master the concept of addition subtraction variable worksheet.
