When ds was 15 1/2 we went away for 4 days, and ds really did not want to come to the event we were at.
So we left him at home.
He had the dog, which kept him company and made him go out every day. It was from Friday morning until Tuesday evening, and on the Sunday my mum came and got him (and dog) and took them to her house for dinner. So 2 nights, day with Granny, then 2 nights.
We texted him every day.
We have good neighbours who knew he was home and my good friend lives round the corner and deliberately walked past every day, (and he knew she would) to make sure no parties etc going on.
I was happy with that and he was delighted to have the hosue to himself. We left plenty of food which just needed microwave or pizza in the oven.
I got slated on here for leaving him because he was under 16. But it was a joint decision and he couldn't wait for us to go!
I think though that in your case, your parents were masisvely negligent. Thye shoudl not have been leaving you, and they shoudl have taken your needs into account as well as your siblings.
You can love your parents and still acknowledge that they made some seriously bad decisions which have negatively affected you. You can even understand maybe why they did something, but still understand and acknowledge that what they did was wrong.
But it can be very hard to acknowledge that your parents were crap parents 