# How do you simplify 26+14y+30+17y?

Mar 3, 2018

$31 y + 56$

#### Explanation:

Ok, so first let’s look at it this way:

You can’t add $1 + 1 y$. You can add $1 + 1$ or $1 y + 1 y$.

So first we would add the numbers WITHOUT any variables.

$26 + 30 = 56$

Then, we would add the numbers WITH variables.

$14 y + 17 y = 31 y$

So, that means that the answer is

$31 y + 56$

(Since you can’t add $31 y$ and $56$ together, you would just leave it like that)

Mar 3, 2018

Combine like terms to get $31 y + 56$

#### Explanation:

Anytime we're simplifying, it helps to combine like terms. These will be constant terms ($\textcolor{b l u e}{b l u e}$) and variable terms ($\textcolor{red}{red}$), respectively.

$\textcolor{b l u e}{26 + 30} + \textcolor{red}{14 y + 17 y}$

$26 + 30 = 56$ (These are our constants)
$14 y + 17 y = 31 y$ (These are our variable terms)

Therefore, our simplified expression is $31 y + 56$