Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $- 7$ by $- 2$ .

$7 y - 2 y + 14 m + 5 (3 m - y)$

Step 1.3

Apply the distributive property.

$7 y - 2 y + 14 m + 5 (3 m) + 5 (- y)$

Step 1.4

Multiply $3$ by $5$ .

$7 y - 2 y + 14 m + 15 m + 5 (- y)$

Step 1.5

Multiply $- 1$ by $5$ .

$7 y - 2 y + 14 m + 15 m - 5 y$

$7 y - 2 y + 14 m + 15 m - 5 y$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $2 y$ from $7 y$ .

$5 y + 14 m + 15 m - 5 y$

Step 2.2

Combine the opposite terms in $5 y + 14 m + 15 m - 5 y$ .

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Step 2.2.1

Subtract $5 y$ from $5 y$ .

$14 m + 15 m + 0$

Step 2.2.2

Add $14 m + 15 m$ and $0$ .

$14 m + 15 m$

$14 m + 15 m$

Step 2.3

Add $14 m$ and $15 m$ .

$29 m$

$29 m$

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