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4x=1-4y
The equation is in standard form.
\frac{4x}{4}=\frac{1-4y}{4}
Divide both sides by 4.
x=\frac{1-4y}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{1}{4}-y
Divide 1-4y by 4.
1-4y=4x
Swap sides so that all variable terms are on the left hand side.
-4y=4x-1
Subtract 1 from both sides.
\frac{-4y}{-4}=\frac{4x-1}{-4}
Divide both sides by -4.
y=\frac{4x-1}{-4}
Dividing by -4 undoes the multiplication by -4.
y=\frac{1}{4}-x
Divide 4x-1 by -4.