Algebra Examples

$x - 2 Y = 3$

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.

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Step 2.1

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

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

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.1.1

Cancel the common factor.

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

Step 2.2.1.2

Divide $Y$ by $1$ .

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

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Move the negative in front of the fraction.

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

Step 2.3.1.2

Dividing two negative values results in a positive value.

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