Solve for h x=(r-h)/y

$x = \frac{r - h}{y}$

Rewrite the equation as $\frac{r - h}{y} = x$ .

$\frac{r - h}{y} = x$

Multiply both sides by $y$ .

$\frac{r - h}{y} y = x y$

Simplify the left side.

Simplify $\frac{r - h}{y} y$ .

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{r - h}{y} y = x y$

Rewrite the expression.

$r - h = x y$

Reorder $r$ and $- h$ .

$- h + r = x y$

Solve for $h$ .

Subtract $r$ from both sides of the equation.

$- h = x y - r$

Divide each term in $- h = x y - r$ by $- 1$ and simplify.

Divide each term in $- h = x y - r$ by $- 1$ .

$\frac{- h}{- 1} = \frac{x y}{- 1} + \frac{- r}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{h}{1} = \frac{x y}{- 1} + \frac{- r}{- 1}$

Divide $h$ by $1$ .

$h = \frac{x y}{- 1} + \frac{- r}{- 1}$

Simplify the right side.

Simplify each term.

Move the negative one from the denominator of $\frac{x y}{- 1}$ .

$h = - 1 \cdot (x y) + \frac{- r}{- 1}$

Rewrite $- 1 \cdot (x y)$ as $- (x y)$ .

$h = - (x y) + \frac{- r}{- 1}$

Dividing two negative values results in a positive value.

$h = - x y + \frac{r}{1}$

Divide $r$ by $1$ .

$h = - x y + r$