What is the complex Z + I = z-iz Z equal to It's Z + I = 1-iz! z=?

What is the complex Z + I = z-iz Z equal to It's Z + I = 1-iz! z=?

z+i = z-iz 
I = - iz is obtained by eliminating the real part
Eliminate the sign of imaginary part and get 1 = - Z
Multiply both sides by - 1 to get - 1 = Z