Solve for y -3x+7y=2y+10

$- 3 x + 7 y = 2 y + 10$

Move all terms containing $y$ to the left side of the equation.

Subtract $2 y$ from both sides of the equation.

$- 3 x + 7 y - 2 y = 10$

Subtract $2 y$ from $7 y$ .

$- 3 x + 5 y = 10$

Add $3 x$ to both sides of the equation.

$5 y = 10 + 3 x$

Divide each term in $5 y = 10 + 3 x$ by $5$ and simplify.

Divide each term in $5 y = 10 + 3 x$ by $5$ .

$\frac{5 y}{5} = \frac{10}{5} + \frac{3 x}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{10}{5} + \frac{3 x}{5}$

Divide $y$ by $1$ .

$y = \frac{10}{5} + \frac{3 x}{5}$

Simplify the right side.

Divide $10$ by $5$ .

$y = 2 + \frac{3 x}{5}$