To solve the expression \(15 + 78 - 19 \times 88\), we need to follow the order of operations, which dictates that we perform multiplication before addition and subtraction.
First, calculate \(19 \times 88\): \[ 19 \times 88 = 1672 \]
Next, substitute this value back into the expression: \[ 15 + 78 - 1672 \]
Now, perform the addition \(15 + 78\): \[ 15 + 78 = 93 \]
Finally, subtract \(1672\) from \(93\): \[ 93 - 1672 = -1579 \]
So, the final result is: \[ \boxed{-1579} \]