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-4x=6-2y
Subtract 2y from both sides.
\frac{-4x}{-4}=\frac{6-2y}{-4}
Divide both sides by -4.
x=\frac{6-2y}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{y-3}{2}
Divide 6-2y by -4.
2y=6+4x
Add 4x to both sides.
2y=4x+6
The equation is in standard form.
\frac{2y}{2}=\frac{4x+6}{2}
Divide both sides by 2.
y=\frac{4x+6}{2}
Dividing by 2 undoes the multiplication by 2.
y=2x+3
Divide 6+4x by 2.