Both ways would give you the same result, however yours is the most straight forward
Wouldn't the colleague's suggestion only be correct if the original was y=a(x+7)?
Disclaimer: I gave up A level maths to do art instead, and that was almost 25 years ago.
Dividing by a first would actually be sensible if you started with y=a(x+7), yes.
a
y=a(x+7)
You'll still get the right answer for y=ax+7 though, it's just uglier.
y=ax+7
@Brun started
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Both ways would give you the same result, however yours is the most straight forward