Solve x=y*lambda+-1*y=

$$x = y \cdot \lambda + - 1 \cdot y =$$

Solve for y

$$\left\{\begin{matrix}y=-\frac{x}{1-\lambda }\text{, }&\lambda \neq 1\\y\in \mathrm{R}\text{, }&x=0\text{ and }\lambda =1\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$y\lambda -y=x$$

Combine all terms containing y.

$$\left(\lambda -1\right)y=x$$

Divide both sides by \lambda -1.

$$\frac{\left(\lambda -1\right)y}{\lambda -1}=\frac{x}{\lambda -1}$$

Dividing by \lambda -1 undoes the multiplication by \lambda -1.

$$y=\frac{x}{\lambda -1}$$

Solve for x

$$x=y\left(\lambda -1\right)$$