Question

How do you solve `|8-y| = |y + 2|`?

Answer 1

`y=3`

Explanation:

As `|8-y|=|y+2|`, we have

either `8-y=y+2`

i.e. `-y-y=2-8`

or `-2y=-6` or `y=3`

or `8-y=-(y+2)`

i.e. `8-y=-y-2`

or `8=-2` - but this is not possible.

Hence, only answer is `y=3`