Simplify 4y^2-5y+(3y-7y^2)-(2y^2+6y-5)

$4 y^{2} - 5 y + (3 y - 7 y^{2}) - (2 y^{2} + 6 y - 5)$

Step 1

Remove parentheses.

$4 y^{2} - 5 y + 3 y - 7 y^{2} - (2 y^{2} + 6 y - 5)$

Step 2

Simplify each term.

Apply the distributive property.

$4 y^{2} - 5 y + 3 y - 7 y^{2} - (2 y^{2}) - (6 y) - - 5$

Simplify.

Multiply $2$ by $- 1$ .

$4 y^{2} - 5 y + 3 y - 7 y^{2} - 2 y^{2} - (6 y) - - 5$

Multiply $6$ by $- 1$ .

$4 y^{2} - 5 y + 3 y - 7 y^{2} - 2 y^{2} - 6 y - - 5$

Multiply $- 1$ by $- 5$ .

$4 y^{2} - 5 y + 3 y - 7 y^{2} - 2 y^{2} - 6 y + 5$

Step 3

Simplify by adding terms.

Subtract $7 y^{2}$ from $4 y^{2}$ .

$- 3 y^{2} - 5 y + 3 y - 2 y^{2} - 6 y + 5$

Subtract $2 y^{2}$ from $- 3 y^{2}$ .

$- 5 y^{2} - 5 y + 3 y - 6 y + 5$

Add $- 5 y$ and $3 y$ .

$- 5 y^{2} - 2 y - 6 y + 5$

Subtract $6 y$ from $- 2 y$ .

$- 5 y^{2} - 8 y + 5$