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7(y-8)=4y-41
We move all terms to the left:
7(y-8)-(4y-41)=0
We multiply parentheses
7y-(4y-41)-56=0
We get rid of parentheses
7y-4y+41-56=0
We add all the numbers together, and all the variables
3y-15=0
We move all terms containing y to the left, all other terms to the right
3y=15
y=15/3
y=5
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