Consider the following linear inequality. \[ 7 y-5 \geq 8+9 y \] Step 1 of 2: Solve the inequality and express your answer in interval notation. Use decimal form for numerical values.

Step 1 ：Consider the following linear inequality: \(7y - 5 \geq 8 + 9y\).

Step 2 ：Subtract 9y from both sides of the inequality: \(-2y - 5 \geq 8\).

Step 3 ：Add 5 to both sides of the inequality: \(-2y \geq 13\).

Step 4 ：Divide both sides by -2 to solve for y, remembering to flip the inequality sign because we are dividing by a negative number: \(y \leq -\frac{13}{2}\).

Step 5 ：The solution to the inequality is \(y \leq -\frac{13}{2}\). This means that any value of y that is less than or equal to -\frac{13}{2} will satisfy the inequality.

Step 6 ：The solution to the inequality in interval notation is \(\boxed{(-\infty, -\frac{13}{2}]}\).