Which of the following is the simplest form of the given expression?
$14 x + 20 x y - 2 y + 42 x y - 14 x + 8 y$

2 y (31 x + 5)

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2 y (31 x + 3)

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2 y (32 x + 2)

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y (31 x + 3)

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Solution

The correct option is B $2 y (31 x + 3)$
$14 x + 20 x y - 2 y + 42 x y - 14 x + 8 y$
Taking like terms together,
$14 x - 14 x + 20 x y + 42 x y + 8 y - 2 y$
$= 62 x y + 6 y$
$= 2 y (31 x + 3)$

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