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9x-4=12y
Add 12y to both sides. Anything plus zero gives itself.
9x=12y+4
Add 4 to both sides.
\frac{9x}{9}=\frac{12y+4}{9}
Divide both sides by 9.
x=\frac{12y+4}{9}
Dividing by 9 undoes the multiplication by 9.
x=\frac{4y}{3}+\frac{4}{9}
Divide 12y+4 by 9.
-12y-4=-9x
Subtract 9x from both sides. Anything subtracted from zero gives its negation.
-12y=-9x+4
Add 4 to both sides.
-12y=4-9x
The equation is in standard form.
\frac{-12y}{-12}=\frac{4-9x}{-12}
Divide both sides by -12.
y=\frac{4-9x}{-12}
Dividing by -12 undoes the multiplication by -12.
y=\frac{3x}{4}-\frac{1}{3}
Divide -9x+4 by -12.