What is 2x+2[y-(4x-[z+2y])+z]-2y ?

The solution to 2x+2[y-(4x-[z+2y])+z]-2y is -6x+4y+4z

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simplify 2x+2[y-(4x-[z+2y])+z]-2y

simplify

2 x + 2 [y - (4 x - [z + 2 y]) + z] - 2 y

- 6 x + 4 y + 4 z

Solution steps

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

Simplify

y - (4 x - (z + 2 y)) + z : - 4 x + 3 y + 2 z

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

Expand

2 (- 4 x + 3 y + 2 z) : - 8 x + 6 y + 4 z

= 2 x - 8 x + 6 y + 4 z - 2 y

Add similar elements:

2 x - 8 x = - 6 x

= - 6 x + 6 y + 4 z - 2 y

Group like terms

= - 6 x + 6 y - 2 y + 4 z

Add similar elements:

6 y - 2 y = 4 y

= - 6 x + 4 y + 4 z

y - 64 < - 128

6 + 3

2 k^{2} - 7 k - 9

4 x^{2} - 3 = 16 x

2.25

What is 2x+2[y-(4x-[z+2y])+z]-2y ?
The solution to 2x+2[y-(4x-[z+2y])+z]-2y is -6x+4y+4z