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2y-8x+4x=0
Add 4x to both sides.
2y-4x=0
Combine -8x and 4x to get -4x.
-4x=-2y
Subtract 2y from both sides. Anything subtracted from zero gives its negation.
\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+8x
Add 8x to both sides.
2y=4x
Combine -4x and 8x to get 4x.
\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.