Solve 2z=y-1/2

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

Solve for y

$$y=2z+\frac{1}{2}$$

Solution Steps

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

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

Add \frac{1}{2} to both sides.

$$y=2z+\frac{1}{2}$$

Solve for z

$$z=\frac{y}{2}-\frac{1}{4}$$

Steps for Solving Linear Equation

The equation is in standard form.

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

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide y-\frac{1}{2} by 2.

$$z=\frac{y}{2}-\frac{1}{4}$$