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2y-6=7y+2
We move all terms to the left:
2y-6-(7y+2)=0
We get rid of parentheses
2y-7y-2-6=0
We add all the numbers together, and all the variables
-5y-8=0
We move all terms containing y to the left, all other terms to the right
-5y=8
y=8/-5
y=-1+3/5
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