To find the value of the collectible coin after 19 years, we can substitute \( x = 19 \) into the equation \( y = 2x + 15 \).
\[ y = 2(19) + 15 \]
Calculating the value:
\[ y = 38 + 15 \]
\[ y = 53 \]
Therefore, the value of the coin after 19 years is $53.