Pre-Algebra Examples

$4 (\frac{x}{2} + \frac{y}{4}) = 4 (- 5)$

Step 1

Solve for $y$ .

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Step 1.1

Simplify $4 (\frac{x}{2} + \frac{y}{4})$ .

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Step 1.1.1

Apply the distributive property.

$4 \frac{x}{2} + 4 \frac{y}{4} = 4 (- 5)$

Step 1.1.2

Cancel the common factor of $2$ .

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Step 1.1.2.1

Factor $2$ out of $4$ .

$2 (2) \frac{x}{2} + 4 \frac{y}{4} = 4 (- 5)$

Step 1.1.2.2

Cancel the common factor.

$2 \cdot 2 \frac{x}{2} + 4 \frac{y}{4} = 4 (- 5)$

Step 1.1.2.3

Rewrite the expression.

$2 x + 4 \frac{y}{4} = 4 (- 5)$

$2 x + 4 \frac{y}{4} = 4 (- 5)$

Step 1.1.3

Cancel the common factor of $4$ .

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Step 1.1.3.1

Cancel the common factor.

$2 x + 4 \frac{y}{4} = 4 (- 5)$

Step 1.1.3.2

Rewrite the expression.

$2 x + y = 4 (- 5)$

$2 x + y = 4 (- 5)$

$2 x + y = 4 (- 5)$

Step 1.2

Multiply $4$ by $- 5$ .

$2 x + y = - 20$

Step 1.3

Subtract $2 x$ from both sides of the equation.

$y = - 20 - 2 x$

$y = - 20 - 2 x$

Step 2

Reorder $- 20$ and $- 2 x$ .

$y = - 2 x - 20$

Step 3

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