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6(y+5)=3y+6
We move all terms to the left:
6(y+5)-(3y+6)=0
We multiply parentheses
6y-(3y+6)+30=0
We get rid of parentheses
6y-3y-6+30=0
We add all the numbers together, and all the variables
3y+24=0
We move all terms containing y to the left, all other terms to the right
3y=-24
y=-24/3
y=-8
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