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3x=9-5y
Subtract 5y from both sides.
\frac{3x}{3}=\frac{9-5y}{3}
Divide both sides by 3.
x=\frac{9-5y}{3}
Dividing by 3 undoes the multiplication by 3.
x=-\frac{5y}{3}+3
Divide 9-5y by 3.
5y=9-3x
Subtract 3x from both sides.
\frac{5y}{5}=\frac{9-3x}{5}
Divide both sides by 5.
y=\frac{9-3x}{5}
Dividing by 5 undoes the multiplication by 5.