Answer:
The required equivalent Expression is
[tex]-3+\frac{2}{3}y -4 -\frac{1}{3}y =-7+\frac{1}{3}y[/tex]
Step-by-step explanation:
Associative property:
The associative property states that you can re-group numbers and you will get the same answer.
For Example:
A + (B + C) = (A + B) + C
Commutative property:
The commutative property states that you can move numbers around and still arrive at the same answer.
For Example:
A + B = B + A
Given:
[tex]-3+\frac{2}{3}y -4 -\frac{1}{3}y[/tex]
Using Commutative property and associative property we get
[tex]-3+\frac{2}{3}y -4 -\frac{1}{3}y = -3 -4+\frac{2}{3}y -\frac{1}{3}y\\\\-3+\frac{2}{3}y -4 -\frac{1}{3}y = -7 +\frac{2-1}{3}y\\\\-3+\frac{2}{3}y -4 -\frac{1}{3}y =-7+\frac{1}{3}y[/tex]
Therefore the required equivalent Expression is
[tex]-3+\frac{2}{3}y -4 -\frac{1}{3}y =-7+\frac{1}{3}y[/tex]
