(1-i)-(6+i)=b

Solution for (1-i)-(6+i)=b equation:

Simplifying
(1 + -1i) + -1(6 + i) = b

Remove parenthesis around (1 + -1i)
1 + -1i + -1(6 + i) = b
1 + -1i + (6 * -1 + i * -1) = b
1 + -1i + (-6 + -1i) = b

Reorder the terms:
1 + -6 + -1i + -1i = b

Combine like terms: 1 + -6 = -5
-5 + -1i + -1i = b

Combine like terms: -1i + -1i = -2i
-5 + -2i = b

Solving
-5 + -2i = b

Solving for variable 'i'.

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

Add '5' to each side of the equation.
-5 + 5 + -2i = 5 + b

Combine like terms: -5 + 5 = 0
0 + -2i = 5 + b
-2i = 5 + b

Divide each side by '-2'.
i = -2.5 + -0.5b

Simplifying
i = -2.5 + -0.5b