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5(y-1)=8y-35
We move all terms to the left:
5(y-1)-(8y-35)=0
We multiply parentheses
5y-(8y-35)-5=0
We get rid of parentheses
5y-8y+35-5=0
We add all the numbers together, and all the variables
-3y+30=0
We move all terms containing y to the left, all other terms to the right
-3y=-30
y=-30/-3
y=+10
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