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-2(y+3)=5y+1
We move all terms to the left:
-2(y+3)-(5y+1)=0
We multiply parentheses
-2y-(5y+1)-6=0
We get rid of parentheses
-2y-5y-1-6=0
We add all the numbers together, and all the variables
-7y-7=0
We move all terms containing y to the left, all other terms to the right
-7y=7
y=7/-7
y=-1
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