Solve the inequality for \( y \): \[ 9 \leq -7 + 4y \]
Add 7 to both sides of the inequality
\[ 9 + 7 \leq -7 + 4y + 7 \] \[ 16 \leq 4y \]
Divide both sides by 4
\[ \frac{16}{4} \leq \frac{4y}{4} \] \[ 4 \leq y \]
The solution to the inequality is: \[ \boxed{y \geq 4} \]
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