Solve for x
x=2-y
Solve for y
y=2-x
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6-3x-2y=y
Swap sides so that all variable terms are on the left hand side.
-3x-2y=y-6
Subtract 6 from both sides.
-3x=y-6+2y
Add 2y to both sides.
-3x=3y-6
Combine y and 2y to get 3y.
\frac{-3x}{-3}=\frac{3y-6}{-3}
Divide both sides by -3.
x=\frac{3y-6}{-3}
Dividing by -3 undoes the multiplication by -3.
x=2-y
Divide -6+3y by -3.
y+2y=6-3x
Add 2y to both sides.
3y=6-3x
Combine y and 2y to get 3y.
\frac{3y}{3}=\frac{6-3x}{3}
Divide both sides by 3.
y=\frac{6-3x}{3}
Dividing by 3 undoes the multiplication by 3.
y=2-x
Divide 6-3x by 3.
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