Simplify the following expression completely. Show your work.

-2 (-y - 3) + 4y

Answers:

A. 6y -6

B. 6y + 6

C. 2y - 6

D. 2y + 6

2 y + 6 + 4 y =

it's B

Simplifying

-2(-1y + -3) + 4y

Reorder the terms:
-2(-3 + -1y) + 4y
(-3 * -2 + -1y * -2) + 4y
(6 + 2y) + 4y

Combine like terms: 2y + 4y = 6y
6 + 6y

Much appreciated gentlemen!

-2(-y - 3) +4y = 2y +6+4y =6y + 6

To simplify the expression -2(-y - 3) + 4y, we will distribute the -2 to both terms inside the parentheses.

First, distribute -2 to -y:

-2 * -y = 2y

Next, distribute -2 to -3:

-2 * -3 = 6

Now, the expression becomes:

2y + 6 + 4y

Combine like terms:

2y + 4y + 6

This becomes:

6y + 6

Therefore, the answer is B. 6y + 6