abs(x)+abs(1-x)+2abs(y)=1

Solution for abs(x)+abs(1-x)+2abs(y)=1 equation:

Simplifying
abs(x) + abs(1 + -1x) + 2abs(y) = 1

Multiply abs * x
absx + abs(1 + -1x) + 2abs(y) = 1
absx + (1 * abs + -1x * abs) + 2abs(y) = 1
absx + (1abs + -1absx) + 2abs(y) = 1

Multiply abs * y
absx + 1abs + -1absx + 2absy = 1

Reorder the terms:
1abs + absx + -1absx + 2absy = 1

Combine like terms: absx + -1absx = 0
1abs + 0 + 2absy = 1
1abs + 2absy = 1

Solving
1abs + 2absy = 1

Solving for variable 'a'.

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

Reorder the terms:
-1 + 1abs + 2absy = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 1abs + 2absy = 0

The solution to this equation could not be determined.