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

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

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

Reorder the terms:
y = 1abs + -2absx + -1abs(-2 + x)
y = 1abs + -2absx + (-2 * -1abs + x * -1abs)
y = 1abs + -2absx + (2abs + -1absx)

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

Combine like terms: 1abs + 2abs = 3abs
y = 3abs + -2absx + -1absx

Combine like terms: -2absx + -1absx = -3absx
y = 3abs + -3absx

Solving
y = 3abs + -3absx

Solving for variable 'y'.

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

Simplifying
y = 3abs + -3absx