the complex number Z satisfies

Z+i/(1+2i)= iz

Find Z.

please help thx!

multiply both sides by (1+2i)

Z(1+2i)+i=iz(1+2i)
z+2zi+i=iz-2z
z(3+i)=-i
multiply both sides by (3-i) and you will have it solved.

check my algebra.