What is x-2(3y+(6x-4(3y-4x)-3y)-2x)-y ?

The solution to x-2(3y+(6x-4(3y-4x)-3y)-2x)-y is -39x+23y

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simplify x-2(3y+(6x-4(3y-4x)-3y)-2x)-y

simplify

x - 2 (3 y + (6 x - 4 (3 y - 4 x) - 3 y) - 2 x) - y

- 39 x + 23 y

Solution steps

x - 2 (3 y + (6 x - 4 (3 y - 4 x) - 3 y) - 2 x) - y

Simplify

3 y + (6 x - 4 (3 y - 4 x) - 3 y) - 2 x : - 12 y + 20 x

= x - 2 (- 12 y + 20 x) - y

Expand

- 2 (- 12 y + 20 x) : 24 y - 40 x

= x + 24 y - 40 x - y

Group like terms

= x - 40 x + 24 y - y

Add similar elements:

x - 40 x = - 39 x

= - 39 x + 24 y - y

Add similar elements:

24 y - y = 23 y

= - 39 x + 23 y

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What is x-2(3y+(6x-4(3y-4x)-3y)-2x)-y ?
The solution to x-2(3y+(6x-4(3y-4x)-3y)-2x)-y is -39x+23y