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-6(y-2)=3y-17
We move all terms to the left:
-6(y-2)-(3y-17)=0
We multiply parentheses
-6y-(3y-17)+12=0
We get rid of parentheses
-6y-3y+17+12=0
We add all the numbers together, and all the variables
-9y+29=0
We move all terms containing y to the left, all other terms to the right
-9y=-29
y=-29/-9
y=3+2/9
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