Suppose \( 4 x+6 y=24 \). Find \( y \) if: \( x=-\frac{1}{4} \) \( y=\square \)

To find \( y \) when \( x = -\frac{1}{4} \), we can substitute this value into the equation \( 4x + 6y = 24 \). First, substitute \( x \): \[ 4\left(-\frac{1}{4}\right) + 6y = 24 \] This simplifies to: \[ -1 + 6y = 24 \] Next, add 1 to both sides: \[ 6y = 25 \] Now, divide both sides by 6: \[ y = \frac{25}{6} \] So, when \( x = -\frac{1}{4} \), \( y = \frac{25}{6} \).