Question

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)

Answer 1

The above one is partly correct the answer (for odyssey ware) is (-(1)/(2)x+2y)(-2)

-(1)/(2) (-2 x + 8 y)

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

Hope this helps people in the future ☜(ﾟヮﾟ☜)

Explanation:

Answer 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