Solve r(2-d)/y=c

$$\frac { r ( 2 - d ) } { y } = c$$

Solve for d (complex solution)

$$\left\{\begin{matrix}d=-\frac{cy}{r}+2\text{, }&r\neq 0\text{ and }y\neq 0\\d\in \mathrm{C}\text{, }&c=0\text{ and }r=0\text{ and }y\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y.

$$r\left(2-d\right)=cy$$

Use the distributive property to multiply r by 2-d.

$$2r-rd=cy$$

Subtract 2r from both sides.

$$-rd=cy-2r$$

The equation is in standard form.

$$\left(-r\right)d=cy-2r$$

Divide both sides by -r.

$$\frac{\left(-r\right)d}{-r}=\frac{cy-2r}{-r}$$

Dividing by -r undoes the multiplication by -r.

$$d=\frac{cy-2r}{-r}$$

Divide cy-2r by -r.

$$d=-\frac{cy}{r}+2$$

Solve for c

$$c=\frac{r\left(2-d\right)}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y.

$$r\left(2-d\right)=cy$$

Use the distributive property to multiply r by 2-d.

$$2r-rd=cy$$

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

$$cy=2r-rd$$

The equation is in standard form.

$$yc=2r-dr$$

Divide both sides by y.

$$\frac{yc}{y}=\frac{r\left(2-d\right)}{y}$$

Dividing by y undoes the multiplication by y.

$$c=\frac{r\left(2-d\right)}{y}$$

Solve for d

$$\left\{\begin{matrix}d=-\frac{cy}{r}+2\text{, }&r\neq 0\text{ and }y\neq 0\\d\in \mathrm{R}\text{, }&c=0\text{ and }r=0\text{ and }y\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y.

$$r\left(2-d\right)=cy$$

Use the distributive property to multiply r by 2-d.

$$2r-rd=cy$$

Subtract 2r from both sides.

$$-rd=cy-2r$$

The equation is in standard form.

$$\left(-r\right)d=cy-2r$$

Divide both sides by -r.

$$\frac{\left(-r\right)d}{-r}=\frac{cy-2r}{-r}$$

Dividing by -r undoes the multiplication by -r.

$$d=\frac{cy-2r}{-r}$$

Divide cy-2r by -r.

$$d=-\frac{cy}{r}+2$$