Let's solve both expressions step by step.
First, we'll simplify the expression on the left:
\[ -6 + 3 \cdot 5 \]
Calculating \(3 \cdot 5\):
\[ 3 \cdot 5 = 15 \]
Now, add \(-6\) to \(15\):
\[ -6 + 15 = 9 \]
Next, let's simplify the expression on the right:
\[ \sqrt{16} + 32 \div 8 \]
Calculating \(\sqrt{16}\):
\[ \sqrt{16} = 4 \]
Now, calculate \(32 \div 8\):
\[ 32 \div 8 = 4 \]
Combining these results:
\[ 4 + 4 = 8 \]
Now we can compare the two results:
- Left side: \(9\)
- Right side: \(8\)
So, \(9\) (from the left expression) is greater than \(8\) (from the right expression).
Thus, the greater value is \(9\).