4(y-1)<2+7

To solve the inequality \( 4(y - 1) < 2 + 7 \), follow these steps:

1. Simplify the right side: \[ 2 + 7 = 9 \] So the inequality becomes: \[ 4(y - 1) < 9 \]

2. Distribute \( 4 \) on the left side: \[ 4y - 4 < 9 \]

3. Add \( 4 \) to both sides: \[ 4y < 9 + 4 \] \[ 4y < 13 \]

4. Divide both sides by \( 4 \): \[ y < \frac{13}{4} \]

Thus, the solution to the inequality is: \[ y < 3.25 \]