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x-8=2y
Add 2y to both sides. Anything plus zero gives itself.
x=2y+8
Add 8 to both sides.
-2y-8=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
-2y=-x+8
Add 8 to both sides.
-2y=8-x
The equation is in standard form.
\frac{-2y}{-2}=\frac{8-x}{-2}
Divide both sides by -2.
y=\frac{8-x}{-2}
Dividing by -2 undoes the multiplication by -2.
y=\frac{x}{2}-4
Divide -x+8 by -2.