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31=10y-9
We move all terms to the left:
31-(10y-9)=0
We get rid of parentheses
-10y+9+31=0
We add all the numbers together, and all the variables
-10y+40=0
We move all terms containing y to the left, all other terms to the right
-10y=-40
y=-40/-10
y=+4
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