SOLUTION: why is 4y-4x equal to 4(x-y)

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Question 672106: why is 4y-4x equal to 4(x-y)
Answer by ReadingBoosters(3246) About Me  (Show Source):
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It is a common multiplier to each variable, so it can be factored out of each variable.
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Consider simplifying a fraction, 12%2F18 they both have a common factor 6,
%2812%2F18%29+=+%286%2F6%29%282%2F3%29
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To your example, let's say its 32-12 then it is equal to 4(8-3), which is equal to 4(8) - 4(3).
In that example, y is 8 and x is 3
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