Simplify (-8y^2-9y-4)+(2y^2-9y+8)-(8y^2+2y-9)

$(- 8 y^{2} - 9 y - 4) + (2 y^{2} - 9 y + 8) - (8 y^{2} + 2 y - 9)$

Step 1

Remove parentheses.

$- 8 y^{2} - 9 y - 4 + 2 y^{2} - 9 y + 8 - (8 y^{2} + 2 y - 9)$

Step 2

Simplify each term.

Apply the distributive property.

$- 8 y^{2} - 9 y - 4 + 2 y^{2} - 9 y + 8 - (8 y^{2}) - (2 y) - - 9$

Simplify.

Multiply

$8$ by

$- 1$ .

$- 8 y^{2} - 9 y - 4 + 2 y^{2} - 9 y + 8 - 8 y^{2} - (2 y) - - 9$

Multiply

$2$ by

$- 1$ .

$- 8 y^{2} - 9 y - 4 + 2 y^{2} - 9 y + 8 - 8 y^{2} - 2 y - - 9$

Multiply

$- 1$ by

$- 9$ .

$- 8 y^{2} - 9 y - 4 + 2 y^{2} - 9 y + 8 - 8 y^{2} - 2 y + 9$

Step 3

Simplify by adding terms.

Add

$- 8 y^{2}$ and

$2 y^{2}$ .

$- 6 y^{2} - 9 y - 4 - 9 y + 8 - 8 y^{2} - 2 y + 9$

Subtract

$8 y^{2}$ from

$- 6 y^{2}$ .

$- 14 y^{2} - 9 y - 4 - 9 y + 8 - 2 y + 9$

Subtract

$9 y$ from

$- 9 y$ .

$- 14 y^{2} - 18 y - 4 + 8 - 2 y + 9$

Subtract

$2 y$ from

$- 18 y$ .

$- 14 y^{2} - 20 y - 4 + 8 + 9$

Simplify by adding numbers.

Add

$- 4$ and

$8$ .

$- 14 y^{2} - 20 y + 4 + 9$

Add

$4$ and

$9$ .

$- 14 y^{2} - 20 y + 13$

Simplify (-8y^2-9y-4)+(2y^2-9y+8)-(8y^2+2y-9)

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