Pre-Algebra Examples

$(y^{2} - 16) - (y^{2} + 4 y + 4)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$y^{2} - 16 - y^{2} - (4 y) - 1 \cdot 4$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $4$ by $- 1$ .

$y^{2} - 16 - y^{2} - 4 y - 1 \cdot 4$

Step 1.2.2

Multiply $- 1$ by $4$ .

$y^{2} - 16 - y^{2} - 4 y - 4$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $y^{2} - 16 - y^{2} - 4 y - 4$ .

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Step 2.1.1

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

$0 - 16 - 4 y - 4$

Step 2.1.2

Subtract $16$ from $0$ .

$- 16 - 4 y - 4$

Step 2.2

Subtract $4$ from $- 16$ .

$- 4 y - 20$

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