Basic Math Examples

$2 + 3 (2 y - 3) - 3 (4 y + 4) - 7$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 + 3 (2 y) + 3 \cdot - 3 - 3 (4 y + 4) - 7$

Step 1.2

Multiply $2$ by $3$ .

$2 + 6 y + 3 \cdot - 3 - 3 (4 y + 4) - 7$

Step 1.3

Multiply $3$ by $- 3$ .

$2 + 6 y - 9 - 3 (4 y + 4) - 7$

Step 1.4

Apply the distributive property.

$2 + 6 y - 9 - 3 (4 y) - 3 \cdot 4 - 7$

Step 1.5

Multiply $4$ by $- 3$ .

$2 + 6 y - 9 - 12 y - 3 \cdot 4 - 7$

Step 1.6

Multiply $- 3$ by $4$ .

$2 + 6 y - 9 - 12 y - 12 - 7$

$2 + 6 y - 9 - 12 y - 12 - 7$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $9$ from $2$ .

$6 y - 7 - 12 y - 12 - 7$

Step 2.2

Subtract $12 y$ from $6 y$ .

$- 6 y - 7 - 12 - 7$

Step 2.3

Simplify by subtracting numbers.

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Step 2.3.1

Subtract $12$ from $- 7$ .

$- 6 y - 19 - 7$

Step 2.3.2

Subtract $7$ from $- 19$ .

$- 6 y - 26$

$- 6 y - 26$

$- 6 y - 26$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$