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3(y+7)-5y=31
We move all terms to the left:
3(y+7)-5y-(31)=0
We add all the numbers together, and all the variables
-5y+3(y+7)-31=0
We multiply parentheses
-5y+3y+21-31=0
We add all the numbers together, and all the variables
-2y-10=0
We move all terms containing y to the left, all other terms to the right
-2y=10
y=10/-2
y=-5
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