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\frac{-x}{2}+7=y
Swap sides so that all variable terms are on the left hand side.
\frac{-x}{2}=y-7
Subtract 7 from both sides.
-x=2y-14
Multiply both sides of the equation by 2.
\frac{-x}{-1}=\frac{2y-14}{-1}
Divide both sides by -1.
x=\frac{2y-14}{-1}
Dividing by -1 undoes the multiplication by -1.
x=14-2y
Divide -14+2y by -1.