Algebra Examples

$8 y^{2} - (- 8 y - (- 10 y^{2} + 9 y)) - (6 + (- 11 y - 6))$

Step 1

Simplify by adding terms.

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Step 1.1

Remove parentheses.

$8 y^{2} - (- 8 y - (- 10 y^{2} + 9 y)) - (6 - 11 y - 6)$

Step 1.2

Combine the opposite terms in $8 y^{2} - (- 8 y - (- 10 y^{2} + 9 y)) - (6 - 11 y - 6)$ .

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Step 1.2.1

Subtract $6$ from $6$ .

$8 y^{2} - (- 8 y - (- 10 y^{2} + 9 y)) - (- 11 y + 0)$

Step 1.2.2

Add $- 11 y$ and $0$ .

$8 y^{2} - (- 8 y - (- 10 y^{2} + 9 y)) - (- 11 y)$

Step 2

Simplify each term.

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$8 y^{2} - (- 8 y - (- 10 y^{2}) - (9 y)) - (- 11 y)$

Step 2.1.2

Multiply $- 10$ by $- 1$ .

$8 y^{2} - (- 8 y + 10 y^{2} - (9 y)) - (- 11 y)$

Step 2.1.3

Multiply $9$ by $- 1$ .

$8 y^{2} - (- 8 y + 10 y^{2} - 9 y) - (- 11 y)$

Step 2.2

Subtract $9 y$ from $- 8 y$ .

$8 y^{2} - (10 y^{2} - 17 y) - (- 11 y)$

Step 2.3

Apply the distributive property.

$8 y^{2} - (10 y^{2}) - (- 17 y) - (- 11 y)$

Step 2.4

Multiply $10$ by $- 1$ .

$8 y^{2} - 10 y^{2} - (- 17 y) - (- 11 y)$

Step 2.5

Multiply $- 17$ by $- 1$ .

$8 y^{2} - 10 y^{2} + 17 y - (- 11 y)$

Step 2.6

Multiply $- 11$ by $- 1$ .

$8 y^{2} - 10 y^{2} + 17 y + 11 y$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $10 y^{2}$ from $8 y^{2}$ .

$- 2 y^{2} + 17 y + 11 y$

Step 3.2

Add $17 y$ and $11 y$ .

$- 2 y^{2} + 28 y$