Basic Math Examples

$- 5 - 6.5 z + 7 y$

Step 1

Factor $- 0.5$ out of $- 5 - 6.5 z + 7 y$ .

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Step 1.1

Reorder the expression.

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Step 1.1.1

Move $- 5$ .

$- 6.5 z + 7 y - 5$

Step 1.1.2

Reorder $- 6.5 z$ and $7 y$ .

$7 y - 6.5 z - 5$

Step 1.2

Factor $- 0.5$ out of $7 y$ .

$- 0.5 (- 14 y) - 6.5 z - 5$

Step 1.3

Factor $- 0.5$ out of $- 6.5 z$ .

$- 0.5 (- 14 y) - 0.5 (13 z) - 5$

Step 1.4

Factor $- 0.5$ out of $- 5$ .

$- 0.5 (- 14 y) - 0.5 (13 z) - 0.5 (10)$

Step 1.5

Factor $- 0.5$ out of $- 0.5 (- 14 y) - 0.5 (13 z)$ .

$- 0.5 (- 14 y + 13 z) - 0.5 (10)$

Step 1.6

Factor $- 0.5$ out of $- 0.5 (- 14 y + 13 z) - 0.5 (10)$ .

$- 0.5 (- 14 y + 13 z + 10)$

Step 2

Factor.

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Step 2.1

Factor $- 1$ out of $- 14 y + 13 z + 10$ .

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Step 2.1.1

Factor $- 1$ out of $- 14 y$ .

$- 0.5 (- (14 y) + 13 z + 10)$

Step 2.1.2

Factor $- 1$ out of $13 z$ .

$- 0.5 (- (14 y) - (- 13 z) + 10)$

Step 2.1.3

Rewrite $10$ as $- 1 (- 10)$ .

$- 0.5 (- (14 y) - (- 13 z) - 1 (- 10))$

Step 2.1.4

Factor $- 1$ out of $- (14 y) - (- 13 z)$ .

$- 0.5 (- (14 y - 13 z) - 1 (- 10))$

Step 2.1.5

Factor $- 1$ out of $- (14 y - 13 z) - 1 (- 10)$ .

$- 0.5 (- (14 y - 13 z - 10))$

Step 2.2

Remove unnecessary parentheses.

$- 0.5 \cdot - 1 (14 y - 13 z - 10)$

Step 3

Combine exponents.

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Step 3.1

Factor out negative.

$- (- 0.5 (14 y - 13 z - 10))$

Step 3.2

Multiply $- 0.5$ by $- 1$ .

$0.5 (14 y - 13 z - 10)$