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4(y-1)=y-2
We move all terms to the left:
4(y-1)-(y-2)=0
We multiply parentheses
4y-(y-2)-4=0
We get rid of parentheses
4y-y+2-4=0
We add all the numbers together, and all the variables
3y-2=0
We move all terms containing y to the left, all other terms to the right
3y=2
y=2/3
y=2/3
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