I may be stupid, or i may be clever, rearrangement of a complex number in modulus form?

Question

"If z = x + yi express z - 2 -6i in the form A + Bj where A and B are real expressions in x and y".
Where i is the imaginary number sqrt(-1).

I can't do that without assuming z - 2 - 6j = 0, can I?

Answer 1

z=x+yi
z-2-6i
=x+yi-2-6i
=x-2+(y-6)i
A=x-2
B=y-6

Answer 2

Yes, you must assume z-2-6i = 0 to do this.

Answer 3

z-2-6i= =(x-2)+(y-6)*i