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3x-9=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
3x=-y+9
Add 9 to both sides.
3x=9-y
The equation is in standard form.
\frac{3x}{3}=\frac{9-y}{3}
Divide both sides by 3.
x=\frac{9-y}{3}
Dividing by 3 undoes the multiplication by 3.
x=-\frac{y}{3}+3
Divide -y+9 by 3.
y-9=-3x
Subtract 3x from both sides. Anything subtracted from zero gives its negation.
y=-3x+9
Add 9 to both sides.