Basic Math Examples

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

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.

Tap for more steps...

Step 2.1

Apply the distributive property.

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

Step 2.2

Simplify.

Tap for more steps...

Step 2.2.1

Multiply $9$ by $- 1$ .

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

Step 2.2.2

Multiply $3$ by $- 1$ .

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

Step 2.2.3

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.

Tap for more steps...

Step 3.1

Add $2 y^{2}$ and $6 y^{2}$ .

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

Step 3.2

Subtract $9 y^{2}$ from $8 y^{2}$ .

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

Step 3.3

Subtract $7 y$ from $2 y$ .

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

Step 3.4

Subtract $3 y$ from $- 5 y$ .

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

Step 3.5

Simplify by adding numbers.

Tap for more steps...

Step 3.5.1

Add $9$ and $3$ .

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

Step 3.5.2

Add $12$ and $9$ .

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