imaginary numbers and equations

Question

8+(x+2y)i=x+2i

I need to find the value of x and y, assuming they are both real numbers. How do I go about solving this? Thanks!

Answer 1

8 + (x + 2y)i = x + 2i

x = 8                             the real parts are equal

(8 + 2y)i = 2i                the imaginary parts are equal

8 + 2y = 2

2y = -6

y = -3