y=x-(1+4i)x-(1-4i)

Solution for y=x-(1+4i)x-(1-4i) equation:

Simplifying
y = x + -1(1 + 4i) * x + -1(1 + -4i)

Reorder the terms for easier multiplication:
y = x + -1x(1 + 4i) + -1(1 + -4i)
y = x + (1 * -1x + 4i * -1x) + -1(1 + -4i)

Reorder the terms:
y = x + (-4ix + -1x) + -1(1 + -4i)
y = x + (-4ix + -1x) + -1(1 + -4i)
y = x + -4ix + -1x + (1 * -1 + -4i * -1)
y = x + -4ix + -1x + (-1 + 4i)

Reorder the terms:
y = -1 + 4i + -4ix + x + -1x

Combine like terms: x + -1x = 0
y = -1 + 4i + -4ix + 0
y = -1 + 4i + -4ix

Solving
y = -1 + 4i + -4ix

Solving for variable 'y'.

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

Simplifying
y = -1 + 4i + -4ix