Solve for y 5x+7y=35

$5 x + 7 y = 35$

Step 1

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

$7 y = 35 - 5 x$

Step 2

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 $7$ .

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

Move the negative in front of the fraction.

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