Basic Math Examples

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

Step 1

Remove parentheses.

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

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$9 y^{2} - 7 y - 7 - 5 y^{2} + 3 y - 5 - (4 y^{2}) - (9 y) - 1 \cdot 2$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $4$ by $- 1$ .

$9 y^{2} - 7 y - 7 - 5 y^{2} + 3 y - 5 - 4 y^{2} - (9 y) - 1 \cdot 2$

Step 2.2.2

Multiply $9$ by $- 1$ .

$9 y^{2} - 7 y - 7 - 5 y^{2} + 3 y - 5 - 4 y^{2} - 9 y - 1 \cdot 2$

Step 2.2.3

Multiply $- 1$ by $2$ .

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

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $5 y^{2}$ from $9 y^{2}$ .

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

Step 3.2

Combine the opposite terms in $4 y^{2} - 7 y - 7 + 3 y - 5 - 4 y^{2} - 9 y - 2$ .

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Step 3.2.1

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

$- 7 y - 7 + 3 y - 5 + 0 - 9 y - 2$

Step 3.2.2

Add $- 7 y - 7 + 3 y - 5$ and $0$ .

$- 7 y - 7 + 3 y - 5 - 9 y - 2$

Step 3.3

Add $- 7 y$ and $3 y$ .

$- 4 y - 7 - 5 - 9 y - 2$

Step 3.4

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

$- 13 y - 7 - 5 - 2$

Step 3.5

Simplify by subtracting numbers.

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Step 3.5.1

Subtract $5$ from $- 7$ .

$- 13 y - 12 - 2$

Step 3.5.2

Subtract $2$ from $- 12$ .

$- 13 y - 14$