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

Solution for abs(x+2y)+abs(x-2y)=4 equation:

Simplifying
abs(x + 2y) + abs(x + -2y) = 4
(x * abs + 2y * abs) + abs(x + -2y) = 4
(absx + 2absy) + abs(x + -2y) = 4
absx + 2absy + (x * abs + -2y * abs) = 4
absx + 2absy + (absx + -2absy) = 4

Reorder the terms:
absx + absx + 2absy + -2absy = 4

Combine like terms: absx + absx = 2absx
2absx + 2absy + -2absy = 4

Combine like terms: 2absy + -2absy = 0
2absx + 0 = 4
2absx = 4

Solving
2absx = 4

Solving for variable 'a'.

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

Divide each side by '2bsx'.
a = 2b-1s-1x-1

Simplifying
a = 2b-1s-1x-1