Basic Math Examples

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

Step 1

Multiply $3$ by $\frac{4 k - 3}{3 (k + 2)}$ .

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

Step 2

Simplify $3 (\frac{4 k - 3}{3 (k + 2)}) - 4$ .

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Step 2.1

Cancel the common factor of $3$ .

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Step 2.1.1

Cancel the common factor.

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

Step 2.1.2

Rewrite the expression.

$y = \frac{4 k - 3}{k + 2} - 4$

Step 2.2

To write $- 4$ as a fraction with a common denominator, multiply by $\frac{k + 2}{k + 2}$ .

$y = \frac{4 k - 3}{k + 2} - 4 \cdot \frac{k + 2}{k + 2}$

Step 2.3

Simplify terms.

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Step 2.3.1

Combine $- 4$ and $\frac{k + 2}{k + 2}$ .

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

Step 2.3.2

Combine the numerators over the common denominator.

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

Step 2.4

Simplify the numerator.

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Step 2.4.1

Apply the distributive property.

$y = \frac{4 k - 3 - 4 k - 4 \cdot 2}{k + 2}$

Step 2.4.2

Multiply $- 4$ by $2$ .

$y = \frac{4 k - 3 - 4 k - 8}{k + 2}$

Step 2.4.3

Subtract $4 k$ from $4 k$ .

$y = \frac{0 - 3 - 8}{k + 2}$

Step 2.4.4

Subtract $3$ from $0$ .

$y = \frac{- 3 - 8}{k + 2}$

Step 2.4.5

Subtract $8$ from $- 3$ .

$y = \frac{- 11}{k + 2}$

Step 2.5

Move the negative in front of the fraction.

$y = - \frac{11}{k + 2}$