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(y-6)-(4y=7)
We move all terms to the left:
(y-6)-(4y-(7))=0
We get rid of parentheses
y-4y-6+7=0
We add all the numbers together, and all the variables
-3y+1=0
We move all terms containing y to the left, all other terms to the right
-3y=-1
y=-1/-3
y=1/3
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