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