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3x=15y-12
The equation is in standard form.
\frac{3x}{3}=\frac{15y-12}{3}
Divide both sides by 3.
x=\frac{15y-12}{3}
Dividing by 3 undoes the multiplication by 3.
x=5y-4
Divide 15y-12 by 3.
15y-12=3x
Swap sides so that all variable terms are on the left hand side.
15y=3x+12
Add 12 to both sides.
\frac{15y}{15}=\frac{3x+12}{15}
Divide both sides by 15.
y=\frac{3x+12}{15}
Dividing by 15 undoes the multiplication by 15.
y=\frac{x+4}{5}
Divide 12+3x by 15.