Examples

$(y^{2} + 6 y + 8) - (y^{2} + y - 12)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$y^{2} + 6 y + 8 - y^{2} - y - - 12$

Step 1.2

Multiply $- 1$ by $- 12$ .

$y^{2} + 6 y + 8 - y^{2} - y + 12$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $y^{2} + 6 y + 8 - y^{2} - y + 12$ .

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Step 2.1.1

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

$6 y + 8 + 0 - y + 12$

Step 2.1.2

Add $6 y + 8$ and $0$ .

$6 y + 8 - y + 12$

Step 2.2

Subtract $y$ from $6 y$ .

$5 y + 8 + 12$

Step 2.3

Add $8$ and $12$ .

$5 y + 20$

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