Solve for Y x-2Y=3

$x - 2 Y = 3$

Step 1

Subtract $x$ from both sides of the equation.

$- 2 Y = 3 - x$

Step 2

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

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

$\frac{- 2 Y}{- 2} = \frac{3}{- 2} + \frac{- x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 Y}{- 2} = \frac{3}{- 2} + \frac{- x}{- 2}$

Divide $Y$ by $1$ .

$Y = \frac{3}{- 2} + \frac{- x}{- 2}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$Y = - \frac{3}{2} + \frac{- x}{- 2}$

Dividing two negative values results in a positive value.

$Y = - \frac{3}{2} + \frac{x}{2}$