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