Applies to Booming Blade as well.

Most spells can't be combined with sneak attack because 5e sneak attack specifies a finesse or ranged weapon attack.

However, booming blade and green-flame blade require you to "…make a melee attack with a weapon against one creature within the spell's range…"

If you're using a finesse weapon and otherwise would qualify to deal sneak attack damage on a normal melee attack, would you be able to apply sneak attack damage with these spells?