Ok, the whole meaning of "day" apologetic is a weak argument. No the word "yom" didn't necessarily have to mean a 24-hour day; it could refer to a period of time. BUT context certainly matters. For instance - saying something such as "the evening and the morning were the first day" is pretty important. Evening and morning are earth-spinning concepts based on the rising and setting of the sun, are they not? If genesis days were not regular days then it's completely nonsensical and outright misleading to speak of "the evening and the morning," which are exactly what signify the passing of an earth day.
But hell, let's allow a stretching of the word "day" anyway. Genealogies between Adam and us, while not definite, don't allow for more than 10,000 years of time. Taking into account the age of the earth, about 4.5 billion years, we've still got roughly 4.5 billion years to account for before the creation of Adam. If we're to reconcile this with the meaning of "day", each day would have to be hundreds of millions of years long. There are serious problems with this.
Here's a chronological timeline of the genesis account
"day" 1 - created earth, created light
"day" 2 - created firmament, divided waters in sky from waters on earth
"day" 3 - appearance of dry land, grass herbs and trees
"day" 4 - lights in the firmament - stars, two great lights - sun and moon
"day" 5 - water animals
"day" 6 - land animals, humans
Even if we're allowing for millions-of-years-long "days", we have
- plants existing for millions of years before there's a sun
- plants existing for millions of years before there are animals
- stars coming into existence after planet earth
Ecosystems are intermeshed systems where plants depend on animals and animals on plants and animals on other animals. Plants and animals evolve together. And of course the sun thing is pretty obvious. An expansion of the word "day" only makes things worse. Not to mention the genesis account already doesn't fit at all with the scientific history of the earth.
Here's a rough chronological timeline of earth. Not meant as complete, but in the right order - first stars, first galaxies, our solar system, life on Earth, simple animals, arthropods, fish, land plants, insects, amphibians, reptiles, mammals, birds, dinosaurs, the homo genus, modern man.
No matter how you want to "interpret" it, Genesis is completely nonsensical and has been embarrassingly refuted by multiple fields of science.