Finite Math Examples

$y = - \frac{8}{9} \cdot (x + 4) + 8$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$y = - \frac{8}{9} x - \frac{8}{9} \cdot 4 + 8$

Step 1.2

Combine $x$ and $\frac{8}{9}$ .

$y = - \frac{x \cdot 8}{9} - \frac{8}{9} \cdot 4 + 8$

Step 1.3

Multiply $- \frac{8}{9} \cdot 4$ .

Tap for more steps...

Step 1.3.1

Multiply $4$ by $- 1$ .

$y = - \frac{x \cdot 8}{9} - 4 (\frac{8}{9}) + 8$

Step 1.3.2

Combine $- 4$ and $\frac{8}{9}$ .

$y = - \frac{x \cdot 8}{9} + \frac{- 4 \cdot 8}{9} + 8$

Step 1.3.3

Multiply $- 4$ by $8$ .

$y = - \frac{x \cdot 8}{9} + \frac{- 32}{9} + 8$

Step 1.4

Simplify each term.

Tap for more steps...

Step 1.4.1

Move $8$ to the left of $x$ .

$y = - \frac{8 \cdot x}{9} + \frac{- 32}{9} + 8$

Step 1.4.2

Move the negative in front of the fraction.

$y = - \frac{8 x}{9} - \frac{32}{9} + 8$

Step 2

To write $8$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$y = - \frac{8 x}{9} - \frac{32}{9} + 8 \cdot \frac{9}{9}$

Step 3

Combine $8$ and $\frac{9}{9}$ .

$y = - \frac{8 x}{9} - \frac{32}{9} + \frac{8 \cdot 9}{9}$

Step 4

Combine the numerators over the common denominator.

$y = - \frac{8 x}{9} + \frac{- 32 + 8 \cdot 9}{9}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply $8$ by $9$ .

$y = - \frac{8 x}{9} + \frac{- 32 + 72}{9}$

Step 5.2

Add $- 32$ and $72$ .

$y = - \frac{8 x}{9} + \frac{40}{9}$