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7(y+1)=3y-13
We move all terms to the left:
7(y+1)-(3y-13)=0
We multiply parentheses
7y-(3y-13)+7=0
We get rid of parentheses
7y-3y+13+7=0
We add all the numbers together, and all the variables
4y+20=0
We move all terms containing y to the left, all other terms to the right
4y=-20
y=-20/4
y=-5
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