Determine which of the following expressions simplifies to x - 4y. Select all situations that apply.

-x (-2 + 8y)

- (-2x + 8y)

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

(y - x) (-2) (-2)

3 (x - 2y) + 2 (y - x) is your answer:

Proof:

Simplify the following:

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

3 (x - 2 y) = 3 x - 6 y:

3 x - 6 y + 2 (y - x)

2 (y - x) = 2 y - 2 x:

3 x - 6 y + 2 y - 2 x

Grouping like terms, 3 x - 6 y - 2 x + 2 y = (3 x - 2 x) + (2 y - 6 y):

(3 x - 2 x) + (2 y - 6 y)

2 y - 6 y = - 4 y:

-4 y + (3 x - 2 x)

3 x - 2 x = x:

Answer: x - 4 y