Sure, let's factorize this step by step.
Original expression is:
8xy - 8z + 7z - 7y
Let's simplify this first:
= 8xy - y + z
Now let's factorize it:
First, let's identify the common factor between the terms,
For 8xy and -y, the common factor is y. So, we take y as a common factor:
= y(8x - 1)
For the next part, there is no common factor for z, so it remains:
= y(8x - 1) + z
So, the factorized form of the given expression is y(8x - 1) + z.