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6x=2-2y
Subtract 2y from both sides.
\frac{6x}{6}=\frac{2-2y}{6}
Divide both sides by 6.
x=\frac{2-2y}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{1-y}{3}
Divide 2-2y by 6.
2y=2-6x
Subtract 6x from both sides.
\frac{2y}{2}=\frac{2-6x}{2}
Divide both sides by 2.
y=\frac{2-6x}{2}
Dividing by 2 undoes the multiplication by 2.
y=1-3x
Divide 2-6x by 2.