Write in y=mx+b Form 4x-2(x+2)=2y-x

$4 x - 2 (x + 2) = 2 y - x$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Simplify the left side.

Simplify $4 x - 2 (x + 2)$ .

Simplify each term.

Apply the distributive property.

$4 x - 2 x - 2 \cdot 2 = 2 y - x$

Multiply $- 2$ by $2$ .

$4 x - 2 x - 4 = 2 y - x$

Subtract $2 x$ from $4 x$ .

$2 x - 4 = 2 y - x$

Rewrite the equation as $2 y - x = 2 x - 4$ .

$2 y - x = 2 x - 4$

Move all terms not containing $y$ to the right side of the equation.

Add $x$ to both sides of the equation.

$2 y = 2 x - 4 + x$

Add $2 x$ and $x$ .

$2 y = 3 x - 4$

Divide each term in $2 y = 3 x - 4$ by $2$ and simplify.

Divide each term in $2 y = 3 x - 4$ by $2$ .

$\frac{2 y}{2} = \frac{3 x}{2} + \frac{- 4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{3 x}{2} + \frac{- 4}{2}$

Divide $y$ by $1$ .

$y = \frac{3 x}{2} + \frac{- 4}{2}$

Simplify the right side.

Divide $- 4$ by $2$ .

$y = \frac{3 x}{2} - 2$

Reorder terms.

$y = \frac{3}{2} x - 2$