Solve B=y+5/k-L

$$B = \frac { y + 5 } { k } - L$$

Solve for L

$$L=\frac{y-Bk+5}{k}$$

$$k\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by k.

$$Bk=y+5-Lk$$

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

$$y+5-Lk=Bk$$

Subtract y from both sides.

$$5-Lk=Bk-y$$

Subtract 5 from both sides.

$$-Lk=Bk-y-5$$

The equation is in standard form.

$$\left(-k\right)L=-y+Bk-5$$

Divide both sides by -k.

$$\frac{\left(-k\right)L}{-k}=\frac{-y+Bk-5}{-k}$$

Dividing by -k undoes the multiplication by -k.

$$L=\frac{-y+Bk-5}{-k}$$

Divide Bk-y-5 by -k.

$$L=-\frac{-y+Bk-5}{k}$$

Solve for B

$$B=-\frac{-y+Lk-5}{k}$$

$$k\neq 0$$