Let s represent the number of stickers in Taylor's collection. Then Grace had 3s stickers. When Grace gave 19 stickers to Taylor, Taylor then had s + 19 stickers and Grace had 3s - 19 stickers left. Since they had the same amount then,
s + 19 = 3s - 19
Adding 19 to both sides,
s + 38 = 3s.
Subtracting s from both sides,
38 = 2s.
Finally, dividing both sides by 2, we obtain
19 = s.
Hence, Taylor had 19 stickers and Grace had 3s = 3(19) = 57. Altogether, they had 19 + 57 = 76 stickers.