Solve for x
x=\frac{2\left(y+7\right)}{3}
Solve for y
y=\frac{3x}{2}-7
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6x+20=\left(1y+12\right)\times 4
Use the distributive property to multiply 3x+10 by 2.
6x+20=4y+48
Use the distributive property to multiply 1y+12 by 4.
6x=4y+48-20
Subtract 20 from both sides.
6x=4y+28
Subtract 20 from 48 to get 28.
\frac{6x}{6}=\frac{4y+28}{6}
Divide both sides by 6.
x=\frac{4y+28}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{2y+14}{3}
Divide 28+4y by 6.
6x+20=\left(1y+12\right)\times 4
Use the distributive property to multiply 3x+10 by 2.
6x+20=4y+48
Use the distributive property to multiply 1y+12 by 4.
4y+48=6x+20
Swap sides so that all variable terms are on the left hand side.
4y=6x+20-48
Subtract 48 from both sides.
4y=6x-28
Subtract 48 from 20 to get -28.
\frac{4y}{4}=\frac{6x-28}{4}
Divide both sides by 4.
y=\frac{6x-28}{4}
Dividing by 4 undoes the multiplication by 4.
y=\frac{3x}{2}-7
Divide 6x-28 by 4.
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