Algebra Examples

$4 (\frac{7}{8} y - 4 - \frac{3}{8} y + 7)$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{7}{8}$ and $y$ .

$4 (\frac{7 y}{8} - 4 - \frac{3}{8} y + 7)$

Step 1.2

Combine $y$ and $\frac{3}{8}$ .

$4 (\frac{7 y}{8} - 4 - \frac{y \cdot 3}{8} + 7)$

Step 1.3

Move $3$ to the left of $y$ .

$4 (\frac{7 y}{8} - 4 - \frac{3 y}{8} + 7)$

$4 (\frac{7 y}{8} - 4 - \frac{3 y}{8} + 7)$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$4 (- 4 + 7 + \frac{7 y - 3 y}{8})$

Step 2.2

Subtract $3 y$ from $7 y$ .

$4 (- 4 + 7 + \frac{4 y}{8})$

Step 2.3

Cancel the common factor of $4$ and $8$ .

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Step 2.3.1

Factor $4$ out of $4 y$ .

$4 (- 4 + 7 + \frac{4 (y)}{8})$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $4$ out of $8$ .

$4 (- 4 + 7 + \frac{4 y}{4 \cdot 2})$

Step 2.3.2.2

Cancel the common factor.

$4 (- 4 + 7 + \frac{4 y}{4 \cdot 2})$

Step 2.3.2.3

Rewrite the expression.

$4 (- 4 + 7 + \frac{y}{2})$

$4 (- 4 + 7 + \frac{y}{2})$

$4 (- 4 + 7 + \frac{y}{2})$

Step 2.4

Add $- 4$ and $7$ .

$4 (3 + \frac{y}{2})$

Step 2.5

Apply the distributive property.

$4 \cdot 3 + 4 \frac{y}{2}$

Step 2.6

Multiply $4$ by $3$ .

$12 + 4 \frac{y}{2}$

Step 2.7

Cancel the common factor of $2$ .

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Step 2.7.1

Factor $2$ out of $4$ .

$12 + 2 (2) \frac{y}{2}$

Step 2.7.2

Cancel the common factor.

$12 + 2 \cdot 2 \frac{y}{2}$

Step 2.7.3

Rewrite the expression.

$12 + 2 y$

$12 + 2 y$

$12 + 2 y$

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