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-2y=6-x
Subtract x from both sides.
\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 6-x by -2.
x=6+2y
Add 2y to both sides.