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Prove. 5y + 4 + 6(1+y)= 11y+10

Statement 1. 5y + 4 + 6(1 + y)
answer: Given

statement 2. 5y + 4 + (6 + 6y)
answer: Distributive Property

statement 3. 5y + ( 4 + 6) +6y
answer: Associative Property

statement 4. 5y + 10 + 6y
answer: addition

statement 5. 5y + 6y + 10
answer:

statement 6. 11y + 10
answer: addition

what is the correct reason for statement 5?

A. multiplication

B. Associative property

C. commutative property

D. Addition

1 Answer

1 vote

Answer:

C

Explanation:

The commutative property states the order of addition doesn't matter. This means that 3 + 4 is the same as 4 + 3. So here 5y + 10 + 6y is the same as 5y + 6y + 10.

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