How do I save multiple checkbox values in a single column in the database and retrieve it using laravel

I have 15 Checkbox at my admin panel so only website admin can select or cancel them.

I need to save checkbox's that checked at my table like this:

Name: car,food,game,...

HTML:

    <div class="form-group">
        <label for="art" class="checkbox-inline">
            Art
         </label>
         <label for="artitecture" class="checkbox-inline">        
              Artitecture
         </label>
          <label for="business" class="checkbox-inline">
              Business
          </label>
              ...
          <div class="form-group">
               
          </div>
 

My Controller Store Function :

 public function store(Request $request)
 {
    $add_hobby=new Hobbies;
    $add_hobby->name=$request->all();
    $add_hobby->save();
    return redirect()->back();
 }

Also try this but only save the last one :

public function store(Request $request)
 {
    $add_hobby=new Hobbies;
    $add_hobby->name=$request->input('car');
    $add_hobby->name=$request->input('food');
      ...
   $add_hobby->name=$request->input('fashion');
    $add_hobby->save();
    return redirect()->back();
 }

I tried this too but I got Error :

 public function store(Request $request)
{
    $request->merge([
    'name' => implode(',', (array) $request->input('game')),
    'name' => implode(',', (array) $request->input('food')),
      ...
      'name' => implode(',', (array) $request->input('fashion')),
]);

    $add_hobby=new Hobbies;
    $add_hobby->name=$request->input()->all();
    $add_hobby->save();
    return redirect()->back();
}

Anyone can help?

Of course is not necessary save at one column but also i don't know another way to save them