Final answer:
The value of the expression (z - 2z) / y for z = -6 and y = -4 is -1.5. The options provided in the question do not match this answer, indicating a possible error in the options.
Step-by-step explanation:
The student is asking to evaluate the expression ((z - 2z) / y) given the values x = 3, y = -4, and z = -6.
First, replace z with -6 in the expression (z - 2z):
(-6) - 2(-6)
this simplifies to:
-6 + 12
which simplifies further to:
6
Now, divide by y, which is -4:
6 / -4 = -1.5
The none of the options A) -3, B) 0, C) 2, D) 1, E) -1 exactly match the calculated value of -1.5. However, given that -1.5 is not listed in the options, and none of the given typos or irrelevant parts are to influence our answer, we can confidently say there seems to be an error in the options provided based on our calculation.