Solve for x
x=\frac{y+3}{3}
Solve for y
y=3\left(x-1\right)
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x-3x-6=2y-8x
Use the distributive property to multiply -3 by x+2.
-2x-6=2y-8x
Combine x and -3x to get -2x.
-2x-6+8x=2y
Add 8x to both sides.
6x-6=2y
Combine -2x and 8x to get 6x.
6x=2y+6
Add 6 to both sides.
\frac{6x}{6}=\frac{2y+6}{6}
Divide both sides by 6.
x=\frac{2y+6}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{y}{3}+1
Divide 6+2y by 6.
x-3x-6=2y-8x
Use the distributive property to multiply -3 by x+2.
-2x-6=2y-8x
Combine x and -3x to get -2x.
2y-8x=-2x-6
Swap sides so that all variable terms are on the left hand side.
2y=-2x-6+8x
Add 8x to both sides.
2y=6x-6
Combine -2x and 8x to get 6x.
\frac{2y}{2}=\frac{6x-6}{2}
Divide both sides by 2.
y=\frac{6x-6}{2}
Dividing by 2 undoes the multiplication by 2.
y=3x-3
Divide -6+6x by 2.
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