Basic Math Examples

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

Step 1

Remove parentheses.

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

Step 2

Simplify each term.

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Step 2.1

Add $9 y$ and $2 y$ .

$- 9 y^{2} + 4 y + 5 - 7 y^{2} - 2 y + 6 - (11 y - 2)$

Step 2.2

Apply the distributive property.

$- 9 y^{2} + 4 y + 5 - 7 y^{2} - 2 y + 6 - (11 y) - - 2$

Step 2.3

Multiply $11$ by $- 1$ .

$- 9 y^{2} + 4 y + 5 - 7 y^{2} - 2 y + 6 - 11 y - - 2$

Step 2.4

Multiply $- 1$ by $- 2$ .

$- 9 y^{2} + 4 y + 5 - 7 y^{2} - 2 y + 6 - 11 y + 2$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $7 y^{2}$ from $- 9 y^{2}$ .

$- 16 y^{2} + 4 y + 5 - 2 y + 6 - 11 y + 2$

Step 3.2

Subtract $2 y$ from $4 y$ .

$- 16 y^{2} + 2 y + 5 + 6 - 11 y + 2$

Step 3.3

Subtract $11 y$ from $2 y$ .

$- 16 y^{2} - 9 y + 5 + 6 + 2$

Step 3.4

Simplify by adding numbers.

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Step 3.4.1

Add $5$ and $6$ .

$- 16 y^{2} - 9 y + 11 + 2$

Step 3.4.2

Add $11$ and $2$ .

$- 16 y^{2} - 9 y + 13$