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2x-8=15-y
Swap sides so that all variable terms are on the left hand side.
2x=15-y+8
Add 8 to both sides.
2x=23-y
Add 15 and 8 to get 23.
\frac{2x}{2}=\frac{23-y}{2}
Divide both sides by 2.
x=\frac{23-y}{2}
Dividing by 2 undoes the multiplication by 2.
-y=2x-8-15
Subtract 15 from both sides.
-y=2x-23
Subtract 15 from -8 to get -23.
\frac{-y}{-1}=\frac{2x-23}{-1}
Divide both sides by -1.
y=\frac{2x-23}{-1}
Dividing by -1 undoes the multiplication by -1.
y=23-2x
Divide 2x-23 by -1.