Gen.1:1 In the beginning God created the heaven and the earth.
2.And the earth was without form, and void; and darkness was upon the face of the deep.
This didn't state when that was, just in the beginning. God destroyed that earth age because of Satan's rebellion and started again with our present, 2nd age.
And the Spirit of God moved upon the face of the waters. (this is when our age began)
3.And God said, "Let there be light;" and there was light.
4.And God saw the light, that it was good: and God divided the light from the darkness.
5. And God called the light Day, and the darkness He called Night. And the evening and the morning were the first day.
That was the first day of our age. Also factor into this that to God 1,000 years is as one day. (2Peter3:8)
If you look at the geologic record, it is very consistent with the way God has dealt with the earth during the bible records.
Alternating epocs of creation and destruction.
I really don't mean to be rude about it, but I vigorously oppose it for many reasons.
God says what He means and means what He says, and the language used in Genesis is deliberately unambiguous and clear that God created the world in 6 24 hour days, and it requires major mental gymnastics to twist that into anything other than a straight forward meaning.
To try to put a gap between v1 and v2 of gen 1 seems to me to make it like God is trying to trick us or something.
When I decided to believe Gods Word for what it is and became a YEC my faith and trust in God increased much.
As for 2 Peter I believe that refers to God working for 6,000 years and will soon be taking a Sabbath for 1,000 years, also known as the millennial rule.
Just my opinion. I really don't have the desire or energy to debate any of this out, so you believe what you want and I'll do the same.
Regards.