What is 2x+[-5x-(-2y+(-x)+y)] ?

The solution to 2x+[-5x-(-2y+(-x)+y)] is -2x+y

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simplify 2x+[-5x-(-2y+(-x)+y)]

simplify

2 x + [- 5 x - (- 2 y + (- x) + y)]

- 2 x + y

Solution steps

2 x + (- 5 x - (- 2 y + (- x) + y))

Apply rule:

a + (b + c) = a + b + c

2 x + (- 5 x - (- 2 y + (- x) + y)) = 2 x - 5 x - (- 2 y + (- x) + y)

= 2 x - 5 x - (- 2 y - x + y)

Add similar elements:

2 x - 5 x = - 3 x

= - 3 x - (- 2 y - x + y)

Simplify

- (- 2 y - x + y) : x + y

= - 3 x + x + y

Add similar elements:

- 3 x + x = - 2 x

= - 2 x + y

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