To find out by how much the baseball card's value is increasing per year, we can look at the coefficient of \(y\) in the equation that gives the value of the card:
\[ \text{Value} = 0.15y + 0.35 \]
Here, the coefficient of \(y\) is \(0.15\). This means that for each year that passes (i.e., for each increase of \(y\) by 1), the value of the baseball card increases by \(0.15\) dollars.
Therefore, the baseball card's value is increasing by $0.15 per year.