u=(x+1)(1-y)

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

Simplifying
u = (x + 1)(1 + -1y)

Reorder the terms:
u = (1 + x)(1 + -1y)

Multiply (1 + x) * (1 + -1y)
u = (1(1 + -1y) + x(1 + -1y))
u = ((1 * 1 + -1y * 1) + x(1 + -1y))
u = ((1 + -1y) + x(1 + -1y))
u = (1 + -1y + (1 * x + -1y * x))
u = (1 + -1y + (1x + -1xy))

Reorder the terms:
u = (1 + 1x + -1xy + -1y)
u = (1 + 1x + -1xy + -1y)

Solving
u = 1 + 1x + -1xy + -1y

Solving for variable 'u'.

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

Simplifying
u = 1 + 1x + -1xy + -1y