The ornamental design for a hairstylistequipmentbag, as shown and described.
FIG. 1 is a perspective view of a hair stylist equipment bag showing my new design;
FIG. 2 is a front cutaway view of FIG. 1 showing internal features visible from the open top;
FIG. 3 is a back cutaway view of FIG. 1 showing internal features visible from the open top;
FIG. 4 is a front view thereof;
FIG. 5 is a back view thereof;
FIG. 6 is a bottom view thereof;
FIG. 7 is a right side view thereof; and,
FIG. 8 is a left side view thereof.
The broken lines showing the stripped pattern and hair care articles are for the purposes of illustrating environment and form no part of the claimed design.