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6y-8=7y-2
We move all terms to the left:
6y-8-(7y-2)=0
We get rid of parentheses
6y-7y+2-8=0
We add all the numbers together, and all the variables
-1y-6=0
We move all terms containing y to the left, all other terms to the right
-y=6
y=6/-1
y=-6
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