If 4x + i(3x - y) = 3 + i(-6), where x and y are real numbers, then find the value of x and y.

4x + i(3x - y) = 3 + i(-6)   ... (1)

Equating the real and the imaginary parts of (1), we get

4x = 3,   3x - y = -6

Which, on solving simultaneously, give x = 3/4 and y = 33/4.