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-4x=2y
Swap sides so that all variable terms are on the left hand side.
\frac{-4x}{-4}=\frac{2y}{-4}
Divide both sides by -4.
x=\frac{2y}{-4}
Dividing by -4 undoes the multiplication by -4.
x=-\frac{y}{2}
Divide 2y by -4.
2y=-4x
The equation is in standard form.
\frac{2y}{2}=-\frac{4x}{2}
Divide both sides by 2.
y=-\frac{4x}{2}
Dividing by 2 undoes the multiplication by 2.
y=-2x
Divide -4x by 2.