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