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If you press down and hold on an emoji, an option for different skin tones will appear.
Hey I tried that. And I just recently purchased the Galaxy S8+ <Verizon) from Ebay, but mines wont change either... I see the little gray dots right top corner of the emojis that supports the color changing feature.. but as I hold it down down for however long it still doesn't give me that option.. idk what the problem is..