PankajPatel wrote:

|x| is always positive. Please note some absolute value properties:

1. When x ≤ 0 ,then |x| = −x . For example: |−10|= -(-10) = 10

2. When x ≥ 0 ,then |x|=x , For example |10| = 10

So,in our question we are given y+|y|=0 --> |y| = -y . This implies that y ≤ 0.

This is similar to first property.

Hence, answer must be D.

Exactly Pankaj...when I saw the options I got doubt and I was not happy with answer explanation , but I must appreciate amorphous effort.

We are given that |y| + y = 0.

Now |y| = -y .. note here |y| is always positive now in order to LHS and RHS have to be postive , RHS i.e. -y to be +ve , y values has to be

-ve.

then |y| = -(-Y)... then it'll be correct. Here y has to be < 0 .

Note : 0 is neither +ve or -ve but only even number. In that case only C can be correct. But as per absolute principle, D comes.

I want Experts to validate my explanation.