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(3y+5)+(2y+4)=10y-31
We move all terms to the left:
(3y+5)+(2y+4)-(10y-31)=0
We get rid of parentheses
3y+2y-10y+5+4+31=0
We add all the numbers together, and all the variables
-5y+40=0
We move all terms containing y to the left, all other terms to the right
-5y=-40
y=-40/-5
y=+8
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