Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 14, 2023

Simplify the expression $\frac{32 x y-20 y}{-4 y}$ .

STEP 1

Assumptions
1. We are given the expression $\frac{32xy - 20y}{-4y}$ .
2. We assume that $y \neq 0$ since division by zero is undefined.

STEP 2

We will start by distributing the division across the terms in the numerator.
$\frac{32xy - 20y}{-4y} = \frac{32xy}{-4y} - \frac{20y}{-4y}$

STEP 3

Now, we simplify each term separately by dividing the coefficients and canceling out any common factors.
For the first term:
$\frac{32xy}{-4y} = -8x$

STEP 4

For the second term:
$\frac{20y}{-4y} = -5$

STEP 5

Combine the simplified terms to get the final simplified expression.
$-8x - 5$
The simplified form of the given expression is $-8x - 5$ .

Was this helpful?

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Contact Influencer program Policy Terms