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3x+5=-9y
Subtract 9y from both sides. Anything subtracted from zero gives its negation.
3x=-9y-5
Subtract 5 from both sides.
\frac{3x}{3}=\frac{-9y-5}{3}
Divide both sides by 3.
x=\frac{-9y-5}{3}
Dividing by 3 undoes the multiplication by 3.
x=-3y-\frac{5}{3}
Divide -9y-5 by 3.
9y+5=-3x
Subtract 3x from both sides. Anything subtracted from zero gives its negation.
9y=-3x-5
Subtract 5 from both sides.
\frac{9y}{9}=\frac{-3x-5}{9}
Divide both sides by 9.
y=\frac{-3x-5}{9}
Dividing by 9 undoes the multiplication by 9.
y=-\frac{x}{3}-\frac{5}{9}
Divide -3x-5 by 9.