Plz ,i am having issues finding out the answer

Option 1

Step-by-step explanation:

To find out the equivalent expression, expand all of the expressions by multiplying the number outside the bracket and its sign with each term inside the bracket.

Given expression:

-(1/2 y + 1/4)

= -1/2 y -1/4

Option 1:

-1/4(1 +2y)

= -1/4 -1/4(2y)

= -1/4 -1/2 y

= -1/2 y -1/4

(equivalent)

Let's check the other options.

Option 2:

1/4(2y -1)

= 1/4(2y) -1/4

= 1/2 y -1/4

(not equivalent)

Option 3:

-2(1/4 y - 1/8)

= -2(1/4y) -2(-1/8)

= -1/2y +1/4

(not equivalent)

Option 4:

2(1/8 -1/4 y)

=2(1/8) -2(1/4 y)

= 1/4 -1/2y

= -1/2y +1/4

(not equivalent)

Thus, the correct answer is option 1.