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10y+23=5y+13
We move all terms to the left:
10y+23-(5y+13)=0
We get rid of parentheses
10y-5y-13+23=0
We add all the numbers together, and all the variables
5y+10=0
We move all terms containing y to the left, all other terms to the right
5y=-10
y=-10/5
y=-2
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