Basic Math Examples

$(2 y^{2} - 9 y - 6) - (3 y^{2} + 4 y - 5) + (8 y^{2} + 3 y - 9)$

Step 1

Remove parentheses.

$(2 y^{2} - 9 y - 6) - (3 y^{2} + 4 y - 5) + 8 y^{2} + 3 y - 9$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$2 y^{2} - 9 y - 6 - (3 y^{2}) - (4 y) - - 5 + 8 y^{2} + 3 y - 9$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $3$ by $- 1$ .

$2 y^{2} - 9 y - 6 - 3 y^{2} - (4 y) - - 5 + 8 y^{2} + 3 y - 9$

Step 2.2.2

Multiply $4$ by $- 1$ .

$2 y^{2} - 9 y - 6 - 3 y^{2} - 4 y - - 5 + 8 y^{2} + 3 y - 9$

Step 2.2.3

Multiply $- 1$ by $- 5$ .

$2 y^{2} - 9 y - 6 - 3 y^{2} - 4 y + 5 + 8 y^{2} + 3 y - 9$

Step 3

Simplify by adding terms.

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Step 3.1

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

$- y^{2} - 9 y - 6 - 4 y + 5 + 8 y^{2} + 3 y - 9$

Step 3.2

Add $- y^{2}$ and $8 y^{2}$ .

$7 y^{2} - 9 y - 6 - 4 y + 5 + 3 y - 9$

Step 3.3

Subtract $4 y$ from $- 9 y$ .

$7 y^{2} - 13 y - 6 + 5 + 3 y - 9$

Step 3.4

Add $- 13 y$ and $3 y$ .

$7 y^{2} - 10 y - 6 + 5 - 9$

Step 3.5

Simplify by adding and subtracting.

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Step 3.5.1

Add $- 6$ and $5$ .

$7 y^{2} - 10 y - 1 - 9$

Step 3.5.2

Subtract $9$ from $- 1$ .

$7 y^{2} - 10 y - 10$