Mean that you are using an edit box format on this other layout?
If so, define this calculation field and use it in place of this field to get a horizontal list of the selected values:
Substitute ( YourCheckBoxFieldHere ; ¶ ; " " )
Note, this puts a space between each value to match what you asked for, but you can use ", " to replace the returns with a comma and space if you prefer.
Awesome, that works great, thank you for the help.