I heard that alchemy is a real nightmare to level up, and someone suggested that I use my five free trainings each level on alchemy.

I've been doing that. The problem is that I am now level 6, and after 5 levels of doing my alchemy training the same thing keeps happening.

I get the money to go get my alchemy training, then I go get the training, and it makes me level up. Then I have have the skill advances I need for the next level, which leaves me just enough space to barely acquire enough gold to go get my next five levels of alchemy training, which then advances me to over half of my next level. As a result, all of my combat skills are suffering, because they're not going up at all. One such skill is sneak. I usually sneak all over the place to level it up, but because I have so much advancement towards my next level I can't sneak or else I'll level up to the point that I can't get my alchemy trainings in.

The result is that I have a level 6 character with 45 in alchemy (I think), a mere 23 in sneak, 21 in archery (primary weapon), 22 in light armor, and so on.

I'm a level 6 character with level 1 skills because I'm trying to make sure I don't miss any training in alchemy.

Does this slow down? Will I get to a point where the five trainings in alchemy and still have enough skill progression left in the level to be able to actually use my sneaking and archery without fear of missing out on the training opportunities?

Thanks in advance for any help you might offer.

I'm really just wondering if I have to keep doing this until my alchemy is at 100 or if at some stage I can begin improving my other skills along-side alchemy so that my combat skills aren't suffering from a massive disparity with my level.