Ответ: -11.25
Разбираемся:
\[ -y(y-4) + (y+7)(y-7) = -y^2 + 4y + y^2 - 49 \]
\[ -y^2 + 4y + y^2 - 49 = 4y - 49 \]
\[ 4 \cdot \left(-\frac{1}{4}\right) - 49 = -1 - 49 = -50 \]
\[4 \cdot \left(-\frac{1}{4}\right) - 49 = -1 - 49 = -50\]
При \(y = -\frac{1}{4}\):
\[4 \cdot \left(-\frac{1}{4}\right) - 49 = -1 - 49 = -50\]
\[4y - 49 = 4 \cdot \left(-\frac{1}{4}\right) - 49 = -1 - 49 = -50\]
\[4 \cdot \left(-\frac{1}{4}\right) - 49 = -1 - 49 = -50\]
\[4 \cdot \left(-\frac{1}{4}\right) - 49 = -1 - 49 = -50\]
\[4y - 49 = 4 \cdot \left(-\frac{1}{4}\right) - 49 = -1 - 49 = -50\]
\[-50 \cdot \frac{1}{4} = -\frac{50}{4} = -12.5 \cdot \frac{1}{4} = -12.5\]
Ответ: -12.5