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6x=9+5y
Add 5y to both sides.
6x=5y+9
The equation is in standard form.
\frac{6x}{6}=\frac{5y+9}{6}
Divide both sides by 6.
x=\frac{5y+9}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{5y}{6}+\frac{3}{2}
Divide 9+5y by 6.
-5y=9-6x
Subtract 6x from both sides.
\frac{-5y}{-5}=\frac{9-6x}{-5}
Divide both sides by -5.
y=\frac{9-6x}{-5}
Dividing by -5 undoes the multiplication by -5.
y=\frac{6x-9}{5}
Divide 9-6x by -5.