Solve -y+2z-3=0

$$- y + 2 z - 3 = 0$$

Solve for y

$$y=2z-3$$

Steps for Solving Linear Equation

Subtract 2z from both sides. Anything subtracted from zero gives its negation.

$$-y-3=-2z$$

Add 3 to both sides.

$$-y=-2z+3$$

The equation is in standard form.

$$-y=3-2z$$

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{3-2z}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{3-2z}{-1}$$

Divide -2z+3 by -1.

$$y=2z-3$$

Solve for z

$$z=\frac{y+3}{2}$$

Steps for Solving Linear Equation

Add y to both sides. Anything plus zero gives itself.

$$2z-3=y$$

Add 3 to both sides.

$$2z=y+3$$

Divide both sides by 2.

$$\frac{2z}{2}=\frac{y+3}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$z=\frac{y+3}{2}$$