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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{3-y}{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=3-2x
Divide 6-4x by 2.