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9x+18=2y
Add 2y to both sides. Anything plus zero gives itself.
9x=2y-18
Subtract 18 from both sides.
\frac{9x}{9}=\frac{2y-18}{9}
Divide both sides by 9.
x=\frac{2y-18}{9}
Dividing by 9 undoes the multiplication by 9.
x=\frac{2y}{9}-2
Divide -18+2y by 9.
-2y+18=-9x
Subtract 9x from both sides. Anything subtracted from zero gives its negation.
-2y=-9x-18
Subtract 18 from both sides.
\frac{-2y}{-2}=\frac{-9x-18}{-2}
Divide both sides by -2.
y=\frac{-9x-18}{-2}
Dividing by -2 undoes the multiplication by -2.
y=\frac{9x}{2}+9
Divide -9x-18 by -2.