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5y-7=8y-2
We move all terms to the left:
5y-7-(8y-2)=0
We get rid of parentheses
5y-8y+2-7=0
We add all the numbers together, and all the variables
-3y-5=0
We move all terms containing y to the left, all other terms to the right
-3y=5
y=5/-3
y=-1+2/3
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