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15x=-6y+7
Add 7 to both sides.
15x=7-6y
The equation is in standard form.
\frac{15x}{15}=\frac{7-6y}{15}
Divide both sides by 15.
x=\frac{7-6y}{15}
Dividing by 15 undoes the multiplication by 15.
x=-\frac{2y}{5}+\frac{7}{15}
Divide -6y+7 by 15.
-6y=15x-7
Swap sides so that all variable terms are on the left hand side.
\frac{-6y}{-6}=\frac{15x-7}{-6}
Divide both sides by -6.
y=\frac{15x-7}{-6}
Dividing by -6 undoes the multiplication by -6.
y=-\frac{5x}{2}+\frac{7}{6}
Divide 15x-7 by -6.