Learn the parts of an expression: a term, a coefficient, and a constant. "Like terms" are terms with same variable parts, such as 3y and 7y. (Note that 3y2 and 7y are NOT like terms.) We can combine (add/subtract) like terms and thus simplify expressions.
I also show an example of an expression where the only operation is multiplication — yes, we can simplify it but in that case, the simplification is not based on any like terms. Lastly, I explain why we are allowed to combine like terms... this principle in algebra is actually based on the distributive property!
The Order of Operations — video lesson
Math Mammoth Grade 7 curriculum (pre-algebra)