Basic Math Examples

$- 2 (2 y + 4) = 10$

Step 1

Divide each term in

$- 2 (2 y + 4) = 10$ by

$- 2$ and simplify.

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Step 1.1

Divide each term in

$- 2 (2 y + 4) = 10$ by

$- 2$ .

$\frac{- 2 (2 y + 4)}{- 2} = \frac{10}{- 2}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of

$- 2$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{- 2 (2 y + 4)}{- 2} = \frac{10}{- 2}$

Step 1.2.1.2

Divide

$2 y + 4$ by

$1$ .

$2 y + 4 = \frac{10}{- 2}$

$2 y + 4 = \frac{10}{- 2}$

$2 y + 4 = \frac{10}{- 2}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide

$10$ by

$- 2$ .

$2 y + 4 = - 5$

$2 y + 4 = - 5$

$2 y + 4 = - 5$

Step 2

Move all terms not containing

$y$ to the right side of the equation.

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Step 2.1

Subtract

$4$ from both sides of the equation.

$2 y = - 5 - 4$

Step 2.2

Subtract

$4$ from

$- 5$ .

$2 y = - 9$

$2 y = - 9$

Step 3

Divide each term in

$2 y = - 9$ by

$2$ and simplify.

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Step 3.1

Divide each term in

$2 y = - 9$ by

$2$ .

$\frac{2 y}{2} = \frac{- 9}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

$2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 9}{2}$

Step 3.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{- 9}{2}$

$y = \frac{- 9}{2}$

$y = \frac{- 9}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$y = - \frac{9}{2}$

$y = - \frac{9}{2}$

$y = - \frac{9}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{9}{2}$

Decimal Form:

$y = - 4.5$

Mixed Number Form:

$y = - 4 \frac{1}{2}$

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