Problem

Use the distributive property to rewrite the expression.
\[
-\frac{1}{5}(10 y+2)
\]
\[
-\frac{1}{5}(10 y+2)=
\]
(Simplify your answer. Use integers or fractions for any numbers in the expression.)

Answer

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Answer

\(\boxed{-2y - 0.4}\) is the final answer.

Steps

Step 1 :The distributive property states that for all real numbers a, b, and c: a(b + c) = ab + ac. In this case, we can apply the distributive property to the expression \(-\frac{1}{5}(10y + 2)\) to simplify it. We will multiply \(-\frac{1}{5}\) by each term inside the parentheses.

Step 2 :So, \(-\frac{1}{5}(10 y+2) = -2y - 0.4\)

Step 3 :\(\boxed{-2y - 0.4}\) is the final answer.

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