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