Algebra Examples

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

Step 1

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

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

Step 2

Multiply both sides by $2$ .

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

Step 3

Simplify.

Tap for more steps...

Step 3.1

Simplify the left side.

Tap for more steps...

Step 3.1.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.1.1.1

Cancel the common factor.

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

Step 3.1.1.2

Rewrite the expression.

$x - y = m \cdot 2$

Step 3.2

Simplify the right side.

Tap for more steps...

Step 3.2.1

Move $2$ to the left of $m$ .

$x - y = 2 m$

Step 4

Solve for $y$ .

Tap for more steps...

Step 4.1

Subtract $x$ from both sides of the equation.

$- y = 2 m - x$

Step 4.2

Divide each term in $- y = 2 m - x$ by $- 1$ and simplify.

Tap for more steps...

Step 4.2.1

Divide each term in $- y = 2 m - x$ by $- 1$ .

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

Step 4.2.2

Simplify the left side.

Tap for more steps...

Step 4.2.2.1

Dividing two negative values results in a positive value.

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

Step 4.2.2.2

Divide $y$ by $1$ .

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

Step 4.2.3

Simplify the right side.

Tap for more steps...

Step 4.2.3.1

Simplify each term.

Tap for more steps...

Step 4.2.3.1.1

Move the negative one from the denominator of $\frac{2 m}{- 1}$ .

$y = - 1 \cdot (2 m) + \frac{- x}{- 1}$

Step 4.2.3.1.2

Rewrite $- 1 \cdot (2 m)$ as $- (2 m)$ .

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

Step 4.2.3.1.3

Multiply $2$ by $- 1$ .

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

Step 4.2.3.1.4

Dividing two negative values results in a positive value.

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

Step 4.2.3.1.5

Divide $x$ by $1$ .

$y = - 2 m + x$