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6x=2+2y
Add 2y to both sides.
6x=2y+2
The equation is in standard form.
\frac{6x}{6}=\frac{2y+2}{6}
Divide both sides by 6.
x=\frac{2y+2}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{y+1}{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=3x-1
Divide 2-6x by -2.