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10x=120+30y
Add 30y to both sides.
10x=30y+120
The equation is in standard form.
\frac{10x}{10}=\frac{30y+120}{10}
Divide both sides by 10.
x=\frac{30y+120}{10}
Dividing by 10 undoes the multiplication by 10.
x=3y+12
Divide 120+30y by 10.
-30y=120-10x
Subtract 10x from both sides.
\frac{-30y}{-30}=\frac{120-10x}{-30}
Divide both sides by -30.
y=\frac{120-10x}{-30}
Dividing by -30 undoes the multiplication by -30.
y=\frac{x}{3}-4
Divide 120-10x by -30.