y=mod(x-1)+mod(x-2)+mod(x-3)+mod(x-4)

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Solution for y=mod(x-1)+mod(x-2)+mod(x-3)+mod(x-4) equation:


Simplifying
y = mod(x + -1) + mod(x + -2) + mod(x + -3) + mod(x + -4)

Reorder the terms:
y = dmo(-1 + x) + mod(x + -2) + mod(x + -3) + mod(x + -4)
y = (-1 * dmo + x * dmo) + mod(x + -2) + mod(x + -3) + mod(x + -4)
y = (-1dmo + dmox) + mod(x + -2) + mod(x + -3) + mod(x + -4)

Reorder the terms:
y = -1dmo + dmox + dmo(-2 + x) + mod(x + -3) + mod(x + -4)
y = -1dmo + dmox + (-2 * dmo + x * dmo) + mod(x + -3) + mod(x + -4)
y = -1dmo + dmox + (-2dmo + dmox) + mod(x + -3) + mod(x + -4)

Reorder the terms:
y = -1dmo + dmox + -2dmo + dmox + dmo(-3 + x) + mod(x + -4)
y = -1dmo + dmox + -2dmo + dmox + (-3 * dmo + x * dmo) + mod(x + -4)
y = -1dmo + dmox + -2dmo + dmox + (-3dmo + dmox) + mod(x + -4)

Reorder the terms:
y = -1dmo + dmox + -2dmo + dmox + -3dmo + dmox + dmo(-4 + x)
y = -1dmo + dmox + -2dmo + dmox + -3dmo + dmox + (-4 * dmo + x * dmo)
y = -1dmo + dmox + -2dmo + dmox + -3dmo + dmox + (-4dmo + dmox)

Reorder the terms:
y = -1dmo + -2dmo + -3dmo + -4dmo + dmox + dmox + dmox + dmox

Combine like terms: -1dmo + -2dmo = -3dmo
y = -3dmo + -3dmo + -4dmo + dmox + dmox + dmox + dmox

Combine like terms: -3dmo + -3dmo = -6dmo
y = -6dmo + -4dmo + dmox + dmox + dmox + dmox

Combine like terms: -6dmo + -4dmo = -10dmo
y = -10dmo + dmox + dmox + dmox + dmox

Combine like terms: dmox + dmox = 2dmox
y = -10dmo + 2dmox + dmox + dmox

Combine like terms: 2dmox + dmox = 3dmox
y = -10dmo + 3dmox + dmox

Combine like terms: 3dmox + dmox = 4dmox
y = -10dmo + 4dmox

Solving
y = -10dmo + 4dmox

Solving for variable 'y'.

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

Simplifying
y = -10dmo + 4dmox

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