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