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Simplify (4x+2xy-y)+(3x-xy+y) and find its value for = -1 and y = 2.

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Final answer:

To simplify the expression (4x+2xy-y)+(3x-xy+y), combine like terms to get 7x + xy + 2y. Then, substitute x = -1 and y = 2 to find its value, which is -5.

Step-by-step explanation:

To simplify the expression (4x+2xy-y)+(3x-xy+y), we need to combine like terms. Like terms are terms that have the same variables raised to the same power. In this case, the like terms are the ones with 'x' and 'y'.

Combining the 'x' terms, we have 4x + 3x = 7x.

Combining the 'y' terms, we have 2xy + y - xy + y = xy + 2y.

So the simplified expression is 7x + xy + 2y.

Now, to find the value of the expression when x = -1 and y = 2, we substitute those values into the expression: 7(-1) + (-1)(2) + 2(2) = -7 - 2 + 4 = -5.

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