This is what I have:
fig, ax = plt.subplots(figsize=(4, 3))
sns.histplot(my_data, ax=ax)
ax.set(ylabel='')
But this still seems to allocate the space for the y-axis label, it's only that the label itself is an empty string, which results in wasted space on the left-hand side of the image. I don't want the white space in place of the y-axis label, I really want to remove it.