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4x=1-2y
Subtract 2y from both sides.
\frac{4x}{4}=\frac{1-2y}{4}
Divide both sides by 4.
x=\frac{1-2y}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{y}{2}+\frac{1}{4}
Divide 1-2y by 4.