\( 1 \leftarrow \quad \begin{array}{l}\text { Evaluate the algebraic expression for } x=8 \text { and } y=-6 \\ |x-y| \\ |x-y| \text { equals } \square \text { when } x=8 \text { and } y=-6\end{array} \)

To evaluate the algebraic expression \( |x - y| \) for \( x = 8 \) and \( y = -6 \), follow these steps: 1. **Substitute the values of \( x \) and \( y \) into the expression:** \[ |x - y| = |8 - (-6)| \] 2. **Simplify inside the absolute value:** \[ |8 + 6| = |14| \] 3. **Evaluate the absolute value:** \[ |14| = 14 \] So, \( |x - y| \) equals **14** when \( x = 8 \) and \( y = -6 \). \[ |x - y| \text{ equals } 14 \text{ when } x = 8 \text{ and } y = -6 \]