Basic Math Examples

$2 y - 1 \cdot (- 3 y - 2) \cdot (4 y) - 3$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 y + (- 1 (- 3 y) - 1 \cdot - 2) \cdot (4 y) - 3$

Step 1.2

Multiply $- 3$ by $- 1$ .

$2 y + (3 y - 1 \cdot - 2) \cdot (4 y) - 3$

Step 1.3

Multiply $- 1$ by $- 2$ .

$2 y + (3 y + 2) \cdot (4 y) - 3$

Step 1.4

Apply the distributive property.

$2 y + 3 y (4 y) + 2 (4 y) - 3$

Step 1.5

Rewrite using the commutative property of multiplication.

$2 y + 3 \cdot 4 y \cdot y + 2 (4 y) - 3$

Step 1.6

Multiply $4$ by $2$ .

$2 y + 3 \cdot 4 y \cdot y + 8 y - 3$

Step 1.7

Simplify each term.

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Step 1.7.1

Multiply $y$ by $y$ by adding the exponents.

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Step 1.7.1.1

Move $y$ .

$2 y + 3 \cdot 4 (y \cdot y) + 8 y - 3$

Step 1.7.1.2

Multiply $y$ by $y$ .

$2 y + 3 \cdot 4 y^{2} + 8 y - 3$

Step 1.7.2

Multiply $3$ by $4$ .

$2 y + 12 y^{2} + 8 y - 3$

Step 2

Add $2 y$ and $8 y$ .

$12 y^{2} + 10 y - 3$