Solve for y M=(x-y)/5

$M = \frac{x - y}{5}$

Step 1

Rewrite the equation as $\frac{x - y}{5} = M$ .

$\frac{x - y}{5} = M$

Step 2

Multiply both sides by $5$ .

$\frac{x - y}{5} \cdot 5 = M \cdot 5$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{x - y}{5} \cdot 5 = M \cdot 5$

Rewrite the expression.

$x - y = M \cdot 5$

Simplify the right side.

Move $5$ to the left of $M$ .

$x - y = 5 M$

Step 4

Solve for $y$ .

Subtract $x$ from both sides of the equation.

$- y = 5 M - x$

Divide each term in $- y = 5 M - x$ by $- 1$ and simplify.

Divide each term in $- y = 5 M - x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{5 M}{- 1} + \frac{- x}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{5 M}{- 1} + \frac{- x}{- 1}$

Divide $y$ by $1$ .

$y = \frac{5 M}{- 1} + \frac{- x}{- 1}$

Simplify the right side.

Simplify each term.

Move the negative one from the denominator of $\frac{5 M}{- 1}$ .

$y = - 1 \cdot (5 M) + \frac{- x}{- 1}$

Rewrite $- 1 \cdot (5 M)$ as $- (5 M)$ .

$y = - (5 M) + \frac{- x}{- 1}$

Multiply $5$ by $- 1$ .

$y = - 5 M + \frac{- x}{- 1}$

Dividing two negative values results in a positive value.

$y = - 5 M + \frac{x}{1}$

Divide $x$ by $1$ .

$y = - 5 M + x$