Solve for y 5x-7y=35 ; for y

$5 x - 7 y = 35$ ; for $y$

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

$- 7 y = 35 - 5 x$

Divide each term in $- 7 y = 35 - 5 x$ by $- 7$ and simplify.

Divide each term in $- 7 y = 35 - 5 x$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{35}{- 7} + \frac{- 5 x}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{35}{- 7} + \frac{- 5 x}{- 7}$

Divide $y$ by $1$ .

$y = \frac{35}{- 7} + \frac{- 5 x}{- 7}$

Simplify the right side.

Simplify each term.

Divide $35$ by $- 7$ .

$y = - 5 + \frac{- 5 x}{- 7}$

Dividing two negative values results in a positive value.

$y = - 5 + \frac{5 x}{7}$