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3(y-3)=7y+7
We move all terms to the left:
3(y-3)-(7y+7)=0
We multiply parentheses
3y-(7y+7)-9=0
We get rid of parentheses
3y-7y-7-9=0
We add all the numbers together, and all the variables
-4y-16=0
We move all terms containing y to the left, all other terms to the right
-4y=16
y=16/-4
y=-4
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