All things being equal between you and your competitors, the number of positive reviews will decide who ranks higher on local search result pages on Google or Bing.
Google makes reviews, from your Google MyBusiness Page, an important factor in its search algorithm. This is why it’s very important for improved rankings that you get strong reviews on Google My Business.
Bing takes customer reviews left on Yelp into account. All things being equal between you and your competitors, you will rank higher in local searches on Bing with strong Yelp reviews.