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