Verified Answer :

- 1/4 ( 1 + 2y) was the answer i got

Answer:

The expression \(-(\frac{1y}{2}+\frac{1}{4} )\) is equivalent to the expression  \(\frac{-1}{4}+\frac{-1y}{2}\) .

Option (A) is correct .

Step-by-step explanation:

As given the expression in the question be as follow .

\(= -(\frac{1y}{2}+\frac{1}{4} )\)

it is also written as

\(= -\frac{1y}{2}-\frac{1}{4}\)

Now take

\(= \frac{-1}{4}(1+2y)\)

Simplify the expression

\(= \frac{-1}{4}+2y\times \frac{-1}{4}\)

\(= \frac{-1}{4}+\frac{-2y}{4}\)

\(= \frac{-1}{4}+\frac{-1y}{2}\)

Therefore the expression \(-(\frac{1y}{2}+\frac{1}{4} )\) is equivalent to the expression \(\frac{-1}{4}+\frac{-1y}{2}\) .

Option (A) is correct .