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Add -x -6y.

Just like with numbers, subtract the first from the second to find what to add to the first to get the second; keeping like terms together:

(10x - 4y) - (11x + 2y) = (10x - 11x) + (-4y - 2y)

= (10 - 11)x + (-4 - 2)y

= -x - 6y

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Q: What must be added to 11x plus 2y to produce 10x-4y?
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