Please Help Me With this.

Question

Simplify: -4(2y-3x)+3(4x-2y)

Answer 1

Hi there.

To do this, we have to follow the "PEMDAS" rule about order of operations.

I'm going to start by copying the problem:

-4(2y-3x) + 3(4x-2y)

Second, we're going to start on the left side of the plus sign and multiply each value inside the parentheses by -4.

-8y + 12x + 3(4x - 2y)

Third, we'll multiply the values inside the parentheses to the right of the plus sign by 3:

-8y + 12x + 12x - 6y

Fourth, we'll combine like terms. To do this, we have to subtract -6y from -8y and add 12x to 3x:

24x -14y

Answer 2

First we want to apply the distributive property, so that we just have a sum of simple terms

-8y + 12x + 12x - 6y

Then we combine like terms and factor out the variables

(-8-6)y + (12+12)x

We finish by simplifying what is in the parentheses

-14y + 24x