2x + (3y - 6) i= 4 + 12i find the value of x and y

The given equation is a complex equation, which means it has both real and imaginary parts. We can equate the real parts and the imaginary parts separately.

The given equation is: 2x + (3y - 6)i = 4 + 12i

Equating the real parts: 2x = 4 => x = 4/2 => x = 2

Equating the imaginary parts: 3y - 6 = 12 => 3y = 12 + 6 => 3y = 18 => y = 18/3 => y = 6

So, the solution to the equation is x = 2 and y = 6.