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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
Swap sides so that all variable terms are on the left hand side.
2y=4x+6
Add 6 to both sides.
\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 4x+6 by 2.