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\left(4-y\right)x=4
Combine all terms containing x.
\frac{\left(4-y\right)x}{4-y}=\frac{4}{4-y}
Divide both sides by 4-y.
x=\frac{4}{4-y}
Dividing by 4-y undoes the multiplication by 4-y.
-xy=4-4x
Subtract 4x from both sides.
\left(-x\right)y=4-4x
The equation is in standard form.
\frac{\left(-x\right)y}{-x}=\frac{4-4x}{-x}
Divide both sides by -x.
y=\frac{4-4x}{-x}
Dividing by -x undoes the multiplication by -x.
y=4-\frac{4}{x}
Divide 4-4x by -x.