What is the solution set of the inequality 15y – 9 < 36y - 95 + 95y - 3y - 3?

To solve the inequality 15y – 9 < 36y - 95 + 95y - 3y - 3, we first simplify the right-hand side.

Combining like terms on the right side gives us:

• 36y – 3y + 95y = (36 – 3 + 95)y = 128y
• -95 – 3 = -98

So the inequality becomes:

15y – 9 < 128y - 98

Next, we rearrange the inequality to isolate the variable on one side:

• Add 9 to both sides: 15y < 128y - 89
• Subtract 128y from both sides: 15y – 128y < -89

This simplifies to:

-113y < -89

Now, dividing both sides by -113, we need to remember to reverse the inequality sign (since we are dividing by a negative number):

y > rac{89}{113}

Thus, the solution set of the inequality is:

y > rac{89}{113}