Homemade Buns

1 cup whole milk
1/2 cup water
1/4 cup unsalted butter
4 1/2 cups all-purpose flour
1 package instant yeast
2 Tbsp granulated sugar
1 1/2 tsp kosher salt
1 large egg

In a small saucepan, heat milk, water and butter until very warm, 120 degrees F (50 degrees C). In a large bowl, mix together 1 3/4 cup flour, yeast, sugar and salt. Mix milk mixture into flour mixture, and then mix in egg. Stir in the remaining flour, 1/2 cup at a time, beating well after each addition. When the dough has pulled together, turn it out onto a lightly floured surface, and knead until smooth and elastic, about 8 minutes.