Solve for y x-2y=9

$x - 2 y = 9$

Step 1

Subtract $x$ from both sides of the equation.

$- 2 y = 9 - x$

Step 2

Divide each term in $- 2 y = 9 - x$ by $- 2$ and simplify.

Divide each term in $- 2 y = 9 - x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{9}{- 2} + \frac{- x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{9}{- 2} + \frac{- x}{- 2}$

Divide $y$ by $1$ .

$y = \frac{9}{- 2} + \frac{- x}{- 2}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{9}{2} + \frac{- x}{- 2}$

Dividing two negative values results in a positive value.

$y = - \frac{9}{2} + \frac{x}{2}$