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12x+38=3y
Swap sides so that all variable terms are on the left hand side.
12x=3y-38
Subtract 38 from both sides.
\frac{12x}{12}=\frac{3y-38}{12}
Divide both sides by 12.
x=\frac{3y-38}{12}
Dividing by 12 undoes the multiplication by 12.
x=\frac{y}{4}-\frac{19}{6}
Divide 3y-38 by 12.
3y=12x+38
The equation is in standard form.
\frac{3y}{3}=\frac{12x+38}{3}
Divide both sides by 3.
y=\frac{12x+38}{3}
Dividing by 3 undoes the multiplication by 3.
y=4x+\frac{38}{3}
Divide 12x+38 by 3.