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6y+15=7y+3
We move all terms to the left:
6y+15-(7y+3)=0
We get rid of parentheses
6y-7y-3+15=0
We add all the numbers together, and all the variables
-1y+12=0
We move all terms containing y to the left, all other terms to the right
-y=-12
y=-12/-1
y=+12
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