Solve C=1/6w(h-y)

$$C = \frac { 1 } { 6 } w ( h - y )$$

Solve for h (complex solution)

$$\left\{\begin{matrix}h=y+\frac{6C}{w}\text{, }&w\neq 0\\h\in \mathrm{C}\text{, }&C=0\text{ and }w=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{6}w by h-y.

$$C=\frac{1}{6}wh-\frac{1}{6}yw$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{6}wh-\frac{1}{6}yw=C$$

Add \frac{1}{6}yw to both sides.

$$\frac{1}{6}wh=C+\frac{1}{6}yw$$

The equation is in standard form.

$$\frac{w}{6}h=\frac{wy}{6}+C$$

Divide both sides by \frac{1}{6}w.

$$\frac{6\times \frac{w}{6}h}{w}=\frac{6\left(\frac{wy}{6}+C\right)}{w}$$

Dividing by \frac{1}{6}w undoes the multiplication by \frac{1}{6}w.

$$h=\frac{6\left(\frac{wy}{6}+C\right)}{w}$$

Divide C+\frac{yw}{6} by \frac{1}{6}w.

$$h=y+\frac{6C}{w}$$

Solve for h

$$\left\{\begin{matrix}h=y+\frac{6C}{w}\text{, }&w\neq 0\\h\in \mathrm{R}\text{, }&C=0\text{ and }w=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{6}w by h-y.

$$C=\frac{1}{6}wh-\frac{1}{6}yw$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{6}wh-\frac{1}{6}yw=C$$

Add \frac{1}{6}yw to both sides.

$$\frac{1}{6}wh=C+\frac{1}{6}yw$$

The equation is in standard form.

$$\frac{w}{6}h=\frac{wy}{6}+C$$

Divide both sides by \frac{1}{6}w.

$$\frac{6\times \frac{w}{6}h}{w}=\frac{6\left(\frac{wy}{6}+C\right)}{w}$$

Dividing by \frac{1}{6}w undoes the multiplication by \frac{1}{6}w.

$$h=\frac{6\left(\frac{wy}{6}+C\right)}{w}$$

Divide C+\frac{yw}{6} by \frac{1}{6}w.

$$h=y+\frac{6C}{w}$$

Solve for C

$$C=\frac{w\left(h-y\right)}{6}$$