Solve for y -5x+7y=3

$- 5 x + 7 y = 3$

Add $5 x$ to both sides of the equation.

$7 y = 3 + 5 x$

Divide each term in $7 y = 3 + 5 x$ by $7$ and simplify.

Divide each term in $7 y = 3 + 5 x$ by $7$ .

$\frac{7 y}{7} = \frac{3}{7} + \frac{5 x}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y}{7} = \frac{3}{7} + \frac{5 x}{7}$

Divide $y$ by $1$ .

$y = \frac{3}{7} + \frac{5 x}{7}$