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15x-6=3y
Swap sides so that all variable terms are on the left hand side.
15x=3y+6
Add 6 to both sides.
\frac{15x}{15}=\frac{3y+6}{15}
Divide both sides by 15.
x=\frac{3y+6}{15}
Dividing by 15 undoes the multiplication by 15.
x=\frac{y+2}{5}
Divide 6+3y by 15.
3y=15x-6
The equation is in standard form.
\frac{3y}{3}=\frac{15x-6}{3}
Divide both sides by 3.
y=\frac{15x-6}{3}
Dividing by 3 undoes the multiplication by 3.
y=5x-2
Divide 15x-6 by 3.