Basic Math Examples

$5 (7 y - 5) - (2 (5 y - 3) + 1)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 (7 y) + 5 \cdot - 5 - (2 (5 y - 3) + 1)$

Step 1.2

Multiply $7$ by $5$ .

$35 y + 5 \cdot - 5 - (2 (5 y - 3) + 1)$

Step 1.3

Multiply $5$ by $- 5$ .

$35 y - 25 - (2 (5 y - 3) + 1)$

Step 1.4

Simplify each term.

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Step 1.4.1

Apply the distributive property.

$35 y - 25 - (2 (5 y) + 2 \cdot - 3 + 1)$

Step 1.4.2

Multiply $5$ by $2$ .

$35 y - 25 - (10 y + 2 \cdot - 3 + 1)$

Step 1.4.3

Multiply $2$ by $- 3$ .

$35 y - 25 - (10 y - 6 + 1)$

$35 y - 25 - (10 y - 6 + 1)$

Step 1.5

Add $- 6$ and $1$ .

$35 y - 25 - (10 y - 5)$

Step 1.6

Apply the distributive property.

$35 y - 25 - (10 y) - - 5$

Step 1.7

Multiply $10$ by $- 1$ .

$35 y - 25 - 10 y - - 5$

Step 1.8

Multiply $- 1$ by $- 5$ .

$35 y - 25 - 10 y + 5$

$35 y - 25 - 10 y + 5$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $10 y$ from $35 y$ .

$25 y - 25 + 5$

Step 2.2

Add $- 25$ and $5$ .

$25 y - 20$

$25 y - 20$

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