Solve for v 20v+5y=10

$20 v + 5 y = 10$

Step 1

Subtract $5 y$ from both sides of the equation.

$20 v = 10 - 5 y$

Step 2

Divide each term in $20 v = 10 - 5 y$ by $20$ and simplify.

Divide each term in $20 v = 10 - 5 y$ by $20$ .

$\frac{20 v}{20} = \frac{10}{20} + \frac{- 5 y}{20}$

Simplify the left side.

Cancel the common factor of $20$ .

Cancel the common factor.

$\frac{20 v}{20} = \frac{10}{20} + \frac{- 5 y}{20}$

Divide $v$ by $1$ .

$v = \frac{10}{20} + \frac{- 5 y}{20}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $10$ and $20$ .

Factor $10$ out of $10$ .

$v = \frac{10 (1)}{20} + \frac{- 5 y}{20}$

Cancel the common factors.

Factor $10$ out of $20$ .

$v = \frac{10 \cdot 1}{10 \cdot 2} + \frac{- 5 y}{20}$

Cancel the common factor.

$v = \frac{10 \cdot 1}{10 \cdot 2} + \frac{- 5 y}{20}$

Rewrite the expression.

$v = \frac{1}{2} + \frac{- 5 y}{20}$

Cancel the common factor of $- 5$ and $20$ .

Factor $5$ out of $- 5 y$ .

$v = \frac{1}{2} + \frac{5 (- y)}{20}$

Cancel the common factors.

Factor $5$ out of $20$ .

$v = \frac{1}{2} + \frac{5 (- y)}{5 (4)}$

Cancel the common factor.

$v = \frac{1}{2} + \frac{5 (- y)}{5 \cdot 4}$

Rewrite the expression.

$v = \frac{1}{2} + \frac{- y}{4}$

Move the negative in front of the fraction.

$v = \frac{1}{2} - \frac{y}{4}$