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-x+6=2y
Swap sides so that all variable terms are on the left hand side.
-x=2y-6
Subtract 6 from both sides.
\frac{-x}{-1}=\frac{2y-6}{-1}
Divide both sides by -1.
x=\frac{2y-6}{-1}
Dividing by -1 undoes the multiplication by -1.
x=6-2y
Divide -6+2y by -1.
2y=6-x
The equation is in standard form.
\frac{2y}{2}=\frac{6-x}{2}
Divide both sides by 2.
y=\frac{6-x}{2}
Dividing by 2 undoes the multiplication by 2.
y=-\frac{x}{2}+3
Divide -x+6 by 2.