Basic Math Examples

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

Step 1

Remove parentheses.

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

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

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

Step 2.2

Simplify.

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Step 2.2.1

Multiply $6$ by $- 1$ .

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

Step 2.2.2

Multiply $- 9$ by $- 1$ .

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

Step 2.2.3

Multiply $- 1$ by $- 9$ .

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

Step 3

Simplify by adding terms.

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Step 3.1

Combine the opposite terms in $- 6 y^{2} + 5 y + 7 - 9 y - 6 y + 6 - 6 y^{2} + 9 y + 9$ .

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Step 3.1.1

Add $- 9 y$ and $9 y$ .

$- 6 y^{2} + 5 y + 7 - 6 y + 6 - 6 y^{2} + 0 + 9$

Step 3.1.2

Add $- 6 y^{2} + 5 y + 7 - 6 y + 6 - 6 y^{2}$ and $0$ .

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

Step 3.2

Subtract $6 y^{2}$ from $- 6 y^{2}$ .

$- 12 y^{2} + 5 y + 7 - 6 y + 6 + 9$

Step 3.3

Subtract $6 y$ from $5 y$ .

$- 12 y^{2} - y + 7 + 6 + 9$

Step 3.4

Simplify by adding numbers.

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Step 3.4.1

Add $7$ and $6$ .

$- 12 y^{2} - y + 13 + 9$

Step 3.4.2

Add $13$ and $9$ .

$- 12 y^{2} - y + 22$