Simplify the Expression: 8y+45-34y-45z Step-by-Step

In order to solve this question, remember that we can perform the addition and subtraction operations when we have the same variable.
However we are limited when we have several different variables.
 

Note that in this exercise that we have three variables:
$45$ which has no variable
$8y$ and $34y$ which both have the variable $y$
and $45z$ with the variable $z$

Therefore, we can only operate with the y variable, since it's the only one that exists in more than one term.

Rearrange the exercise:

$45-34y+8y-45z$

Combine the relevant terms with $y$

$45-26y-45z$

We observe that this is similar to one of the other answers, with a small rearrangement of the terms:

$-26y+45-45z$

Given that we have no possibility to perform additional operations - this is the solution!