Just multiply in this order:
1. Numbers
2. Common variables
Then put answers from each step together and bring down anything that wasn't multiplied to your final answer, if necessary.
(6zy)(-8z)
steps
1. 6 * -8 = -48
2a. z * z = z2 (When multiplying variables that are the same by each other, you add the exponents. If you don't see a physical exponent, it is assumed to be 1. e.g. z= z1 and y1 = y. So z*z --> z1 * z1 --> z(1+1) --> z2)
2b. y (We're just going to bring this down because there was no other y for it to multiply by)
So your answer is: -48yz2 (The order of your answer should always be number then variables in alphabetical order)
Final answer: -48yz2