Add the softened butter to a mixing bowl and beat until creamy.

Add the granulated sugar and mix until light and fluffy.

Add the vanilla extract and yogurt, then mix until well combined.

In a separate bowl, combine the all-purpose flour, baking powder, baking soda, and salt.

Add the dry ingredients to the wet mixture and mix until incorporated.

Add the milk and mix until a smooth batter forms.

Add the hot coffee mixture.

Add the toasted chopped walnuts to the dry ingredients, then fold them into the batter.

Sprinkle a few chopped walnuts over the base of the prepared loaf pan.

Pour the cake batter over the walnuts and spread evenly.

Bake at 350°F (175°C) for 40–50 minutes, or until a toothpick inserted into the center comes out clean.

Remove the cake from the oven and allow it to cool completely.

Cut the cake into slices and serve.