Solve my=n(2-y)

$$m y = n ( 2 - y )$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=-\frac{n\left(y-2\right)}{y}\text{, }&y\neq 0\\m\in \mathrm{C}\text{, }&n=0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply n by 2-y.

$$my=2n-ny$$

The equation is in standard form.

$$ym=2n-ny$$

Divide both sides by y.

$$\frac{ym}{y}=\frac{n\left(2-y\right)}{y}$$

Dividing by y undoes the multiplication by y.

$$m=\frac{n\left(2-y\right)}{y}$$

Solve for n (complex solution)

$$\left\{\begin{matrix}n=-\frac{my}{y-2}\text{, }&y\neq 2\\n\in \mathrm{C}\text{, }&m=0\text{ and }y=2\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply n by 2-y.

$$my=2n-ny$$

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

$$2n-ny=my$$

Combine all terms containing n.

$$\left(2-y\right)n=my$$

Divide both sides by 2-y.

$$\frac{\left(2-y\right)n}{2-y}=\frac{my}{2-y}$$

Dividing by 2-y undoes the multiplication by 2-y.

$$n=\frac{my}{2-y}$$

Solve for m

$$\left\{\begin{matrix}m=-\frac{n\left(y-2\right)}{y}\text{, }&y\neq 0\\m\in \mathrm{R}\text{, }&n=0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply n by 2-y.

$$my=2n-ny$$

The equation is in standard form.

$$ym=2n-ny$$

Divide both sides by y.

$$\frac{ym}{y}=\frac{n\left(2-y\right)}{y}$$

Dividing by y undoes the multiplication by y.

$$m=\frac{n\left(2-y\right)}{y}$$

Solve for n

$$\left\{\begin{matrix}n=-\frac{my}{y-2}\text{, }&y\neq 2\\n\in \mathrm{R}\text{, }&m=0\text{ and }y=2\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply n by 2-y.

$$my=2n-ny$$

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

$$2n-ny=my$$

Combine all terms containing n.

$$\left(2-y\right)n=my$$

Divide both sides by 2-y.

$$\frac{\left(2-y\right)n}{2-y}=\frac{my}{2-y}$$

Dividing by 2-y undoes the multiplication by 2-y.

$$n=\frac{my}{2-y}$$