Algebra Examples

$5 (2 y - 3 x + 6) + 14 - 2 y$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 (2 y) + 5 (- 3 x) + 5 \cdot 6 + 14 - 2 y$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $2$ by $5$ .

$10 y + 5 (- 3 x) + 5 \cdot 6 + 14 - 2 y$

Step 1.2.2

Multiply $- 3$ by $5$ .

$10 y - 15 x + 5 \cdot 6 + 14 - 2 y$

Step 1.2.3

Multiply $5$ by $6$ .

$10 y - 15 x + 30 + 14 - 2 y$

$10 y - 15 x + 30 + 14 - 2 y$

$10 y - 15 x + 30 + 14 - 2 y$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $2 y$ from $10 y$ .

$8 y - 15 x + 30 + 14$

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $30$ and $14$ .

$8 y - 15 x + 44$

Step 2.2.2

Reorder $8 y$ and $- 15 x$ .

$- 15 x + 8 y + 44$

$- 15 x + 8 y + 44$

$- 15 x + 8 y + 44$

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