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-6x=6+2y
Add 2y to both sides.
-6x=2y+6
The equation is in standard form.
\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.