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Math

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PROBLEM

Identify the property shown: 7(y+2)=7y+147(y+2)=7y+14. Options: A. associative, B. distributive, C. commutative, D. associative.

STEP 1

Assumptions1. We are given an equation 7(y+)=7y+147(y+)=7y+14
. We need to identify the property illustrated in the given equation.

STEP 2

Let's analyze the given equation.The left-hand side of the equation is 7(y+2)7(y+2), which means7 is multiplied by the quantity (y+2)(y+2).
The right-hand side of the equation is 7y+147y+14, which means7 is multiplied by y and2 separately and then added.

STEP 3

The property that allows us to multiply a number outside the parentheses by each term inside the parentheses and then add (or subtract) the results is called the distributive property.

SOLUTION

So, the property illustrated in the given equation is the distributive property.
The correct answer is B. Distributive Property.

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