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12x-33y-2=0
Multiply 0 and 1 to get 0.
12x-2=33y
Add 33y to both sides. Anything plus zero gives itself.
12x=33y+2
Add 2 to both sides.
\frac{12x}{12}=\frac{33y+2}{12}
Divide both sides by 12.
x=\frac{33y+2}{12}
Dividing by 12 undoes the multiplication by 12.
x=\frac{11y}{4}+\frac{1}{6}
Divide 33y+2 by 12.
12x-33y-2=0
Multiply 0 and 1 to get 0.
-33y-2=-12x
Subtract 12x from both sides. Anything subtracted from zero gives its negation.
-33y=-12x+2
Add 2 to both sides.
-33y=2-12x
The equation is in standard form.
\frac{-33y}{-33}=\frac{2-12x}{-33}
Divide both sides by -33.
y=\frac{2-12x}{-33}
Dividing by -33 undoes the multiplication by -33.
y=\frac{4x}{11}-\frac{2}{33}
Divide -12x+2 by -33.