Right except that us YEC tend to believe that God did not lie to us in His Inspired Word - The Bible.
The 6,000 years comes from adding the OT lineages of approx 4004 years from Adam upto Jesus.
The 6 days comes from a literal reading of Genesis - in other words - exactly as it is written without any metaphors, similes or analogies.
His inspired word never instructed you to add anything to come up with an answer to your worldly curiosity.
There is also no assurance that the “6 days of creation” translate into 24 hour days.
There are plenty of Biblical citations stating time is not a constraint to God. “...a day is like a thousand years..” etc.
What are your criteria for which passages are literal and which are figurative?
Bet I can present a few Catholic citations you’d rather read as figurative!
Just out of curiosity, what is the exact word used to describe the time period that passed during the first part of creation?
To save you the trouble (in your ignorance), the Hebrew (you are aware the Old Testament was written in a language other than English, right?) word was yom. It comes from a root word that means "heat" and, as best as anyone can figure (since there aren't many native speakers of ancient Hebrew around to consult), is closest to the literal phrase "the warm hours/time". It can be used to describe the period from sun-up to sun-down, the period between one sunset and the next, a space of time, and many other related figurative expressions (all of which are used in the Old Testament). The word "day" IS a figurative (i.e. idiomatic) translation of the word! Ancient languages (with their limited vocabularies) seldom had one concrete meaning for a term, and borrowed similar words for similar ideas, relying on context to help separate the meanings. That's why some people spend their lives trying to understand these ancient languages... when other fools assert the "simplicity" of the words (after being translated into their own language, of course)...