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

Question

Simplify the following expression:

8y+4534y45z=? 8y+45-34y-45z=\text{?}

Video Solution

Solution Steps

00:00 Simplify the expression
00:04 Mark the appropriate unknowns
00:09 Use the commutative law and arrange equal unknowns together
00:20 Group like terms
00:32 And this is the solution to the question

Step-by-Step Solution

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 45 which has no variable
8y 8y and 34y 34y which both have the variable y y
and 45z 45z with the variable z 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:

4534y+8y45z 45-34y+8y-45z

Combine the relevant terms with y y

4526y45z 45-26y-45z

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

26y+4545z -26y+45-45z

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

Answer

26y+4545z -26y+45-45z