Solve the system of equations. \[ \begin{array}{l} \left\{\begin{array}{l} 3 x-2 y+4 z=4 \\ 4 y-4 z=-24 \end{array}\right. \\ x= \\ y= \\ z= \end{array} \]

Step 1 ：Step 1: Solve the second equation for y in terms of z.

Step 2 ：Step 2: Substitute the value of y into the first equation.

Step 3 ：Step 3: Solve the equation 3x + 2z = -8 for x in terms of z.

Step 4 ：Step 4: Substitute the values of x and y into the original second equation.

Step 5 ：Step 5: Check the solution.

Step 6 ：Therefore, the solution to the system of equations is: x = (-2/3)z - (8/3), y = z - 6, z = z