Simplify 2y^2+2y+9+(6y^2-7y+3)-(9y^2+3y-9)

$2 y^{2} + 2 y + 9 + (6 y^{2} - 7 y + 3) - (9 y^{2} + 3 y - 9)$

Step 1

Remove parentheses.

$2 y^{2} + 2 y + 9 + 6 y^{2} - 7 y + 3 - (9 y^{2} + 3 y - 9)$

Step 2

Simplify each term.

Apply the distributive property.

$2 y^{2} + 2 y + 9 + 6 y^{2} - 7 y + 3 - (9 y^{2}) - (3 y) - - 9$

Simplify.

Multiply

$9$ by

$- 1$ .

$2 y^{2} + 2 y + 9 + 6 y^{2} - 7 y + 3 - 9 y^{2} - (3 y) - - 9$

Multiply

$3$ by

$- 1$ .

$2 y^{2} + 2 y + 9 + 6 y^{2} - 7 y + 3 - 9 y^{2} - 3 y - - 9$

Multiply

$- 1$ by

$- 9$ .

$2 y^{2} + 2 y + 9 + 6 y^{2} - 7 y + 3 - 9 y^{2} - 3 y + 9$

Step 3

Simplify by adding terms.

Add

$2 y^{2}$ and

$6 y^{2}$ .

$8 y^{2} + 2 y + 9 - 7 y + 3 - 9 y^{2} - 3 y + 9$

Subtract

$9 y^{2}$ from

$8 y^{2}$ .

$- y^{2} + 2 y + 9 - 7 y + 3 - 3 y + 9$

Subtract

$7 y$ from

$2 y$ .

$- y^{2} - 5 y + 9 + 3 - 3 y + 9$

Subtract

$3 y$ from

$- 5 y$ .

$- y^{2} - 8 y + 9 + 3 + 9$

Simplify by adding numbers.

Add

$9$ and

$3$ .

$- y^{2} - 8 y + 12 + 9$

Add

$12$ and

$9$ .

$- y^{2} - 8 y + 21$

Simplify 2y^2+2y+9+(6y^2-7y+3)-(9y^2+3y-9)

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