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6(y+1)=9y+3
We move all terms to the left:
6(y+1)-(9y+3)=0
We multiply parentheses
6y-(9y+3)+6=0
We get rid of parentheses
6y-9y-3+6=0
We add all the numbers together, and all the variables
-3y+3=0
We move all terms containing y to the left, all other terms to the right
-3y=-3
y=-3/-3
y=1
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