To evaluate the expression \(-4x + 7y\) when \(x = -2\) and \(y = -4\), follow these steps:
-
Substitute the values of \(x\) and \(y\) into the expression: \[ -4(-2) + 7(-4) \]
-
Calculate \(-4(-2)\): \[ -4 \times -2 = 8 \]
-
Calculate \(7(-4)\): \[ 7 \times -4 = -28 \]
-
Now combine the two results: \[ 8 + (-28) = 8 - 28 = -20 \]
Thus, the value of the expression \(-4x + 7y\) when \(x = -2\) and \(y = -4\) is \(\boxed{-20}\).