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12x-15=4y
Add 4y to both sides. Anything plus zero gives itself.
12x=4y+15
Add 15 to both sides.
\frac{12x}{12}=\frac{4y+15}{12}
Divide both sides by 12.
x=\frac{4y+15}{12}
Dividing by 12 undoes the multiplication by 12.
x=\frac{y}{3}+\frac{5}{4}
Divide 4y+15 by 12.
-4y-15=-12x
Subtract 12x from both sides. Anything subtracted from zero gives its negation.
-4y=-12x+15
Add 15 to both sides.
-4y=15-12x
The equation is in standard form.
\frac{-4y}{-4}=\frac{15-12x}{-4}
Divide both sides by -4.
y=\frac{15-12x}{-4}
Dividing by -4 undoes the multiplication by -4.
y=3x-\frac{15}{4}
Divide -12x+15 by -4.