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.)

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.