Let's simplify the expression step by step.
The expression we need to simplify is:
\[ -2(3.5y - 2.5) + 4.5y - 1 \]
First, substitute \(y = -0.2\) into the expression:
Substitute \(y\): \[ -2(3.5(-0.2) - 2.5) + 4.5(-0.2) - 1 \]
Calculate \(3.5(-0.2)\): \[ 3.5 \times -0.2 = -0.7 \]
Calculate \(3.5(-0.2) - 2.5\): \[ -0.7 - 2.5 = -3.2 \]
Now expanding \(-2(-3.2)\): \[ -2(-3.2) = 6.4 \]
Next calculate \(4.5(-0.2)\): \[ 4.5 \times -0.2 = -0.9 \]
Combine everything together: \[ 6.4 - 0.9 - 1 \]
Calculating \(6.4 - 0.9 = 5.5\):
Now \(5.5 - 1\): \[ 5.5 - 1 = 4.5 \]
Thus, the final result is:
\[ 4.5 \]