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You can't exactly FOIL it because you don't have a problem in the form of

(3x + 2)(4x - 6)

Frankly, I don't understand exactly what question you are trying to solve, so I'll give you a couple of examples that might help.

(-y32) times (2y - 4xy2) turns into:

((-1)(y32) times 2y) plus ((-1)(y32) times ((-1)(4xy2)) which becomes

-2y33 plus 4xy34 which would be more often expressed as

4xy34 - 2y33

Perhaps you meant something more like this:

(-y times 32) times (2y - 4xy2) turns into:

(-32y) times (2y - 4xy2) which becomes

(-y times 2y) + (-y times -4xy2) + (32 times 2y) + (32 times -4xy2) which becomes

-2y2 + 4xy3 + 64y - 128xy2 which is

4xy3 -128 xy2 - 2y2 + 64y

I'm sure if I'm gotten it wrong, someone will straighten it out.

Also, if this doesn't help, please fix up the original question so it can be answered properly.

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Q: How do you foil -y32x2y-4xy2?
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