Solve the inequality for \( y \). \[ 2+\frac{1}{4} y<-5 \] Simplify your answer as much as possible.

To solve the inequality \( 2+\frac{1}{4} y<-5 \), first, isolate the term with \( y \) by subtracting 2 from both sides: \[ \frac{1}{4} y < -5 - 2 \] \[ \frac{1}{4} y < -7 \] Next, to eliminate the fraction, multiply both sides by 4 (remember, since 4 is positive, the inequality sign stays the same): \[ y < -7 \times 4 \] \[ y < -28 \] So, the solution to the inequality is \( y < -28 \).