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x-6=-3y
Subtract 3y from both sides. Anything subtracted from zero gives its negation.
x=-3y+6
Add 6 to both sides.
3y-6=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
3y=-x+6
Add 6 to both sides.
3y=6-x
The equation is in standard form.
\frac{3y}{3}=\frac{6-x}{3}
Divide both sides by 3.
y=\frac{6-x}{3}
Dividing by 3 undoes the multiplication by 3.
y=-\frac{x}{3}+2
Divide -x+6 by 3.