Solve for x y=1/2x-2

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

Step 1

Rewrite the equation as $\frac{1}{2} x - 2 = y$ .

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

Step 2

Combine $\frac{1}{2}$ and $x$ .

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

Step 3

Add $2$ to both sides of the equation.

$\frac{x}{2} = y + 2$

Step 4

Multiply both sides of the equation by $2$ .

$2 \frac{x}{2} = 2 (y + 2)$

Step 5

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{x}{2} = 2 (y + 2)$

Rewrite the expression.

$x = 2 (y + 2)$

$x = 2 (y + 2)$

$x = 2 (y + 2)$

Simplify the right side.

Simplify $2 (y + 2)$ .

Apply the distributive property.

$x = 2 y + 2 \cdot 2$

Multiply $2$ by $2$ .

$x = 2 y + 4$

$x = 2 y + 4$

$x = 2 y + 4$

$x = 2 y + 4$

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