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3y+2=5y+15
We move all terms to the left:
3y+2-(5y+15)=0
We get rid of parentheses
3y-5y-15+2=0
We add all the numbers together, and all the variables
-2y-13=0
We move all terms containing y to the left, all other terms to the right
-2y=13
y=13/-2
y=-6+1/2
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