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5y-2+y-6=-9y+10+6y+13=
We move all terms to the left:
5y-2+y-6-(-9y+10+6y+13)=0
We add all the numbers together, and all the variables
5y+y-(-3y+23)-2-6=0
We add all the numbers together, and all the variables
6y-(-3y+23)-8=0
We get rid of parentheses
6y+3y-23-8=0
We add all the numbers together, and all the variables
9y-31=0
We move all terms containing y to the left, all other terms to the right
9y=31
y=31/9
y=3+4/9
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