Solve y=8-5t/8-5z=

$$y = \frac { 8 - 5 t } { 8 - 5 z } =$$

Solve for t

$$t=yz-\frac{8y}{5}+\frac{8}{5}$$

$$z\neq \frac{8}{5}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by -5z+8.

$$y\left(-5z+8\right)=8-5t$$

Use the distributive property to multiply y by -5z+8.

$$-5yz+8y=8-5t$$

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

$$8-5t=-5yz+8y$$

Subtract 8 from both sides.

$$-5t=-5yz+8y-8$$

Divide both sides by -5.

$$\frac{-5t}{-5}=\frac{-5yz+8y-8}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$t=\frac{-5yz+8y-8}{-5}$$

Divide -5yz+8y-8 by -5.

$$t=yz-\frac{8y}{5}+\frac{8}{5}$$

Solve for y

$$y=-\frac{5t-8}{8-5z}$$

$$z\neq \frac{8}{5}$$