Solve for y v=(x-y)/z

$v = \frac{x - y}{z}$

Rewrite the equation as $\frac{x - y}{z} = v$ .

$\frac{x - y}{z} = v$

Multiply both sides of the equation by $z$ .

$x - y = v \cdot (z)$

Remove parentheses.

$x - y = v \cdot (z)$

Multiply $v$ by $z$ .

$x - y = v z$

Subtract $x$ from both sides of the equation.

$- y = v z - x$

Multiply each term in $- y = v z - x$ by $- 1$

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Multiply each term in $- y = v z - x$ by $- 1$ .

$(- y) \cdot - 1 = v z \cdot - 1 + (- x) \cdot - 1$

Multiply $(- y) \cdot - 1$ .

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Multiply $- 1$ by $- 1$ .

$1 y = v z \cdot - 1 + (- x) \cdot - 1$

Multiply $y$ by $1$ .

$y = v z \cdot - 1 + (- x) \cdot - 1$

Simplify each term.

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Move $- 1$ to the left of $v z$ .

$y = - 1 \cdot (v z) + (- x) \cdot - 1$

Rewrite $- 1 (v z)$ as $- (v z)$ .

$y = - (v z) + (- x) \cdot - 1$

Multiply $(- x) \cdot - 1$ .

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Multiply $- 1$ by $- 1$ .

$y = - v z + 1 x$

Multiply $x$ by $1$ .

$y = - v z + x$

Solve for y v=(x-y)/z

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