z=5-abs(3x+3y)-abs(3y-3x)

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Solution for z=5-abs(3x+3y)-abs(3y-3x) equation:


Simplifying
z = 5 + -1abs(3x + 3y) + -1abs(3y + -3x)
z = 5 + (3x * -1abs + 3y * -1abs) + -1abs(3y + -3x)
z = 5 + (-3absx + -3absy) + -1abs(3y + -3x)

Reorder the terms:
z = 5 + -3absx + -3absy + -1abs(-3x + 3y)
z = 5 + -3absx + -3absy + (-3x * -1abs + 3y * -1abs)
z = 5 + -3absx + -3absy + (3absx + -3absy)

Reorder the terms:
z = 5 + -3absx + 3absx + -3absy + -3absy

Combine like terms: -3absx + 3absx = 0
z = 5 + 0 + -3absy + -3absy
z = 5 + -3absy + -3absy

Combine like terms: -3absy + -3absy = -6absy
z = 5 + -6absy

Solving
z = 5 + -6absy

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Simplifying
z = 5 + -6absy

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