Finite Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $4$ by $- 6$ .

$7 y - 24 y^{2} - 6 (- 2 y) - 6 \cdot 7 + 9 y^{2}$

Step 1.2.2

Multiply $- 2$ by $- 6$ .

$7 y - 24 y^{2} + 12 y - 6 \cdot 7 + 9 y^{2}$

Step 1.2.3

Multiply $- 6$ by $7$ .

$7 y - 24 y^{2} + 12 y - 42 + 9 y^{2}$

Step 2

Simplify by adding terms.

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Step 2.1

Add $7 y$ and $12 y$ .

$- 24 y^{2} + 19 y - 42 + 9 y^{2}$

Step 2.2

Add $- 24 y^{2}$ and $9 y^{2}$ .

$- 15 y^{2} + 19 y - 42$