Full Idea
For Aristotle, explanation and generality are fellow-travellers.
Gist of Idea
Explanation and generality are inseparable
Source
report of Aristotle (Posterior Analytics [c.327 BCE]) by Michael V. Wedin - Aristotle's Theory of Substance X.11
Book Reference
Wedin,Michael V.: 'Aristotle's Theory of Substance' [OUP 2000], p.342
A Reaction
This isn't 'lawlike' explanation, but it is interestingly close to it. It seems to be based on the fact that predicates are universals, so we can only state truths in general terms.