Solve for y 9y-(2y-3)=5(y-2)+2y

$9 y - (2 y - 3) = 5 (y - 2) + 2 y$

Simplify $9 y - (2 y - 3)$ .

Simplify each term.

Apply the distributive property.

$9 y - (2 y) - - 3 = 5 (y - 2) + 2 y$

Multiply $2$ by $- 1$ .

$9 y - 2 y - - 3 = 5 (y - 2) + 2 y$

Multiply $- 1$ by $- 3$ .

$9 y - 2 y + 3 = 5 (y - 2) + 2 y$

Subtract $2 y$ from $9 y$ .

$7 y + 3 = 5 (y - 2) + 2 y$

Simplify $5 (y - 2) + 2 y$ .

Simplify each term.

Apply the distributive property.

$7 y + 3 = 5 y + 5 \cdot - 2 + 2 y$

Multiply $5$ by $- 2$ .

$7 y + 3 = 5 y - 10 + 2 y$

Add $5 y$ and $2 y$ .

$7 y + 3 = 7 y - 10$

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

Subtract $7 y$ from both sides of the equation.

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

Combine the opposite terms in $7 y + 3 - 7 y$ .

Subtract $7 y$ from $7 y$ .

$0 + 3 = - 10$

Add $0$ and $3$ .

$3 = - 10$

Since $3 \neq - 10$ , there are no solutions.

No solution