What is a-(x+y)-3(x-y)+2[-(x-2y)-2(-x-y)] ?

The solution to a-(x+y)-3(x-y)+2[-(x-2y)-2(-x-y)] is -2x+a+10y

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simplify a-(x+y)-3(x-y)+2[-(x-2y)-2(-x-y)]

simplify

a - (x + y) - 3 (x - y) + 2 [- (x - 2 y) - 2 (- x - y)]

- 2 x + a + 10 y

Solution steps

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

- (x + y) = - x - y

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

= a - x - y - 3 (x - y) + 2 (x + 4 y)

Expand

- 3 (x - y) : - 3 x + 3 y

= a - x - y - 3 x + 3 y + 2 (x + 4 y)

Expand

2 (x + 4 y) : 2 x + 8 y

= a - x - y - 3 x + 3 y + 2 x + 8 y

Group like terms

= - x - 3 x + 2 x + a - y + 3 y + 8 y

Add similar elements:

- x - 3 x + 2 x = - 2 x

= - 2 x + a - y + 3 y + 8 y

Add similar elements:

- y + 3 y + 8 y = 10 y

= - 2 x + a + 10 y

x^{2} \cdot 4 x

- 6 + 4 q + (- 6 q)

- 72 + - 50

sin^{2} (x) cot (x) sec (x)

\frac{\frac{x}{y}}{x}

What is a-(x+y)-3(x-y)+2[-(x-2y)-2(-x-y)] ?
The solution to a-(x+y)-3(x-y)+2[-(x-2y)-2(-x-y)] is -2x+a+10y