Solve for w
w=ry
Solve for r
\left\{\begin{matrix}r=\frac{w}{y}\text{, }&y\neq 0\\r\in \mathrm{R}\text{, }&w=0\text{ and }y=0\end{matrix}\right.
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ry-w=\frac{\mathrm{d}}{\mathrm{d}r}(y)
Swap sides so that all variable terms are on the left hand side.
-w=\frac{\mathrm{d}}{\mathrm{d}r}(y)-ry
Subtract ry from both sides.
-w=-ry
The equation is in standard form.
\frac{-w}{-1}=-\frac{ry}{-1}
Divide both sides by -1.
w=-\frac{ry}{-1}
Dividing by -1 undoes the multiplication by -1.
w=ry
Divide -ry by -1.
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