Question

Simplify the following problem using the distributive property: 3y + 2z + 3(y-z) + 4y. Show

each step in your calculation. Justify each of your steps using number properties.

Answer 1

To simplify the given expression using the distributive property, distribute the value outside the parentheses to every term inside, combine like terms, and simplify further.

Step-by-step explanation:

We can simplify the expression using the distributive property. Let's go step by step:

1. Distribute the 3 into the parentheses: 3 * y = 3y and 3 * (-z) = -3z.
2. Combine like terms: 3y + 2z + 3y - 3z + 4y.
3. Add up the coefficients of like terms: (3y + 3y + 4y) + (2z - 3z).
4. Simplify further: 10y - z.

Therefore, the simplified expression is 10y - z. The distributive property allows us to distribute the value outside the parentheses to every term within the parentheses.

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