Find the real values of x and y

-4+3i-x+yi=8-6i

x = - 12, y = - 9

Step-by-step explanation:

Given

- 4 + 3i - x + yi = 8 - 6i

Simplify left side by collecting like terms and equate like coefficients with the terms on the right side, that is

- 4 - x + i (3 + y) = 8 - 6i, thus

3 + y = - 6 (subtract 3 from both sides) ← equating imaginary parts

y = - 9, then

- 4 - x = 8 (add 4 from both sides) ← equating real parts

- x = 12 (multiply both sides by - 1)

x = - 12