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2x+3y-x=0
Subtract 1x from both sides.
x+3y=0
Combine 2x and -x to get x.
x=-3y
Subtract 3y from both sides. Anything subtracted from zero gives its negation.
3y=1x-2x
Subtract 2x from both sides.
3y=-x
Combine 1x and -2x to get -x.
\frac{3y}{3}=-\frac{x}{3}
Divide both sides by 3.
y=-\frac{x}{3}
Dividing by 3 undoes the multiplication by 3.