How does one love the sinner, yet hate the sin?

I'll cut to the chase here.................My brother, Jamie, age 46, is in the middle of divorcing my sister-in-law, Kim.............and I am actually OK with this. How can this be, you say, since God hates divorce? Well, I believe He also hates alcoholism that destroys marriage, family, self, etc. Kim is an alcoholic, but will not and has not ever admitted to this. Her third DUI will be netting some jail time soon for a couple of months. There are two kids in the family, a senior girl in high school----E, and her brother, my nephew, J, a sophomore. There have been many past years of counseling, half-way houses, de-tox, re-hab, and police coming to take a drunken Kim to the hospital, and then much more of the same for many, many years. There is a restraining order for Kim not to enter her home due to the drunkeness.

I asked Jamie if he wanted me to visit her and give her any personal hygiene items or food, whatever (never $ because that would end up being used for booze) to help her out. He said no because she would either be drunk or would rant and rave about how lousy Jamie was for divorcing her. The kids are also in total agreement with the divorce since they have also been so affected by her awful alcoholic binges.

So, I pray for all of them........for Kim to know Lord and peace/sanity for Jamie and kids.
Alcoholism then even affects the extended family and beyond. This is so very sad. Their marriage is currently the total antithesis of what God intended a marriage to be.

Anybody reading this, please pray right now for these four people. I thank you.