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