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9y+7(y-4)=100
We move all terms to the left:
9y+7(y-4)-(100)=0
We multiply parentheses
9y+7y-28-100=0
We add all the numbers together, and all the variables
16y-128=0
We move all terms containing y to the left, all other terms to the right
16y=128
y=128/16
y=8
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