Solve b=25ya-b

$$b = 25 y a - b$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=\frac{2b}{25y}\text{, }&y\neq 0\\a\in \mathrm{C}\text{, }&b=0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$25ya-b=b$$

Add b to both sides.

$$25ya=b+b$$

Combine b and b to get 2b.

$$25ya=2b$$

Divide both sides by 25y.

$$\frac{25ya}{25y}=\frac{2b}{25y}$$

Dividing by 25y undoes the multiplication by 25y.

$$a=\frac{2b}{25y}$$

Solve for a

$$\left\{\begin{matrix}a=\frac{2b}{25y}\text{, }&y\neq 0\\a\in \mathrm{R}\text{, }&b=0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$25ya-b=b$$

Add b to both sides.

$$25ya=b+b$$

Combine b and b to get 2b.

$$25ya=2b$$

Divide both sides by 25y.

$$\frac{25ya}{25y}=\frac{2b}{25y}$$

Dividing by 25y undoes the multiplication by 25y.

$$a=\frac{2b}{25y}$$

Solve for b

$$b=\frac{25ay}{2}$$

Steps for Solving Linear Equation

Add b to both sides.

$$b+b=25ya$$

Combine b and b to get 2b.

$$2b=25ya$$

The equation is in standard form.

$$2b=25ay$$

Divide both sides by 2.

$$\frac{2b}{2}=\frac{25ay}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$b=\frac{25ay}{2}$$