Laravel, showing specific project detail of the specific user

so I have a many-to-many pivot table (project_user)

I'm successful in getting all the projects of the authenticated user

WriterController.php

public function writerProjects()
{
    //

    $projects = auth()->user()->projects;

    dd($projects);

    return view('writers.projects', compact('projects'));

} 

web.php

    Route::get('users/{user}/projects', [
   'as' => 'showProjects', 'uses' => 'WriterController@writerProjects']);

My question is how can I get the specific project's details?

My approach so far (it doesn't work though).

public function showWriterProjects($id)
{
    //todo

    $projects = auth()->user()->projects;



    foreach($projects as $p)
    {
        dd($p->name);
    }

    return view('writers.projects.show', compact('projects'));

}

web.php for that

      Route::get('users/{user}/projects/{project}', [
      'as' => 'showSingleProject', 'uses' => 
     'WriterController@showWriterProjects']);

What am I doing wrong?

Many-to-Many relations have been defined in User.php and Project.php, they seemed pretty obvious to post.

via Chebli Mohamed