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3x-3=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
3x=-y+3
Add 3 to both sides.
3x=3-y
The equation is in standard form.
\frac{3x}{3}=\frac{3-y}{3}
Divide both sides by 3.
x=\frac{3-y}{3}
Dividing by 3 undoes the multiplication by 3.
x=-\frac{y}{3}+1
Divide -y+3 by 3.
y-3=-3x
Subtract 3x from both sides. Anything subtracted from zero gives its negation.
y=-3x+3
Add 3 to both sides.