Basic Math Examples

$0.04 y + 0.07 (8000 - y)$

Step 1

Factor $0.01$ out of $0.04 y + 0.07 (8000 - y)$ .

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Step 1.1

Reorder $8000$ and $- y$ .

$0.04 y + 0.07 (- y + 8000)$

Step 1.2

Factor $0.01$ out of $0.04 y$ .

$0.01 (4 y) + 0.07 (- y + 8000)$

Step 1.3

Factor $0.01$ out of $0.07 (- y + 8000)$ .

$0.01 (4 y) + 0.01 (7 (- y + 8000))$

Step 1.4

Factor $0.01$ out of $0.01 (4 y) + 0.01 (7 (- y + 8000))$ .

$0.01 (4 y + 7 (- y + 8000))$

$0.01 (4 y + 7 (- y + 8000))$

Step 2

Apply the distributive property.

$0.01 (4 y + 7 (- y) + 7 \cdot 8000)$

Step 3

Multiply $- 1$ by $7$ .

$0.01 (4 y - 7 y + 7 \cdot 8000)$

Step 4

Multiply $7$ by $8000$ .

$0.01 (4 y - 7 y + 56000)$

Step 5

Subtract $7 y$ from $4 y$ .

$0.01 (- 3 y + 56000)$

Step 6

Factor.

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Step 6.1

Factor $- 1$ out of $- 3 y + 56000$ .

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Step 6.1.1

Factor $- 1$ out of $- 3 y$ .

$0.01 (- (3 y) + 56000)$

Step 6.1.2

Rewrite $56000$ as $- 1 (- 56000)$ .

$0.01 (- (3 y) - 1 (- 56000))$

Step 6.1.3

Factor $- 1$ out of $- (3 y) - 1 (- 56000)$ .

$0.01 (- (3 y - 56000))$

$0.01 (- (3 y - 56000))$

Step 6.2

Remove unnecessary parentheses.

$0.01 \cdot - 1 (3 y - 56000)$

$0.01 \cdot - 1 (3 y - 56000)$

Step 7

Combine exponents.

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Step 7.1

Factor out negative.

$- (0.01 (3 y - 56000))$

Step 7.2

Multiply $0.01$ by $- 1$ .

$- 0.01 (3 y - 56000)$

$- 0.01 (3 y - 56000)$

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