Solve for y 1/2y=8-x

$\frac{1}{2} y = 8 - x$

Step 1

Multiply both sides of the equation by $2$ .

$2 (\frac{1}{2} y) = 2 (8 - x)$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $2 (\frac{1}{2} y)$ .

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

$2 \frac{y}{2} = 2 (8 - x)$

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{y}{2} = 2 (8 - x)$

Rewrite the expression.

$y = 2 (8 - x)$

$y = 2 (8 - x)$

$y = 2 (8 - x)$

$y = 2 (8 - x)$

Simplify the right side.

Simplify $2 (8 - x)$ .

Apply the distributive property.

$y = 2 \cdot 8 + 2 (- x)$

Multiply.

Multiply $2$ by $8$ .

$y = 16 + 2 (- x)$

Multiply $- 1$ by $2$ .

$y = 16 - 2 x$

$y = 16 - 2 x$

$y = 16 - 2 x$

$y = 16 - 2 x$

$y = 16 - 2 x$

Step 3

Reorder $16$ and $- 2 x$ .

$y = - 2 x + 16$

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