Solve for g
g=\frac{3y+4}{5}
Solve for y
y=\frac{5g-4}{3}
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9y=-12+15g
Use the distributive property to multiply 3 by -4+5g.
-12+15g=9y
Swap sides so that all variable terms are on the left hand side.
15g=9y+12
Add 12 to both sides.
\frac{15g}{15}=\frac{9y+12}{15}
Divide both sides by 15.
g=\frac{9y+12}{15}
Dividing by 15 undoes the multiplication by 15.
g=\frac{3y+4}{5}
Divide 9y+12 by 15.
9y=-12+15g
Use the distributive property to multiply 3 by -4+5g.
9y=15g-12
The equation is in standard form.
\frac{9y}{9}=\frac{15g-12}{9}
Divide both sides by 9.
y=\frac{15g-12}{9}
Dividing by 9 undoes the multiplication by 9.
y=\frac{5g-4}{3}
Divide -12+15g by 9.
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