Question

Simplify the expression.

$-2+y+8$

Short answer

$-2+y+8 = y + 6$.

Step-by-step solution

Step-1 – What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Step-2 – Commutative Property of Addition of Real Numbers: 

Suppose a, b, and c is three real numbers.

Commutative Property of Addition:

Property: a + b = b + a

If you add two real numbers in any order, the sum will always be the same.

Example: 5 + 2 = 2 + 5 = 7

Step-3 – Evaluate the expression

Commutative property of Addition states, if you add two real numbers in any order, the sum will always be the same.

Evaluate the expression:

To evaluate the expression$-2+y+8$, the term$y$is a variable. The terms – 2and 8 are constants.

Using the Commutative property of addition, adding like terms,

$\begin{array}{l}-2+y+8\\ y+(-2+8)\\ y+(8-2)(\text{CommutativePropertyofAddition)}\\ y+6\end{array}$

$-2+y+8 = y + 6$