Solve for x
x=\frac{3y}{2}-10
Solve for y
y=\frac{2\left(x+10\right)}{3}
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3y-30=2x-10
Use the distributive property to multiply 3 by y-10.
2x-10=3y-30
Swap sides so that all variable terms are on the left hand side.
2x=3y-30+10
Add 10 to both sides.
2x=3y-20
Add -30 and 10 to get -20.
\frac{2x}{2}=\frac{3y-20}{2}
Divide both sides by 2.
x=\frac{3y-20}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{3y}{2}-10
Divide 3y-20 by 2.
3y-30=2x-10
Use the distributive property to multiply 3 by y-10.
3y=2x-10+30
Add 30 to both sides.
3y=2x+20
Add -10 and 30 to get 20.
\frac{3y}{3}=\frac{2x+20}{3}
Divide both sides by 3.
y=\frac{2x+20}{3}
Dividing by 3 undoes the multiplication by 3.
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