2(4y-8)>3(4y+5)

I think you have to do the parenthesis first, but Im not a teacher so idk

2(4y-8)>3(4y+5)

8y-16 > 12y + 15
Note the change of the inequality sign
12y-8y < -16 -15
4y < -31
y < -31/4

To solve this inequality, follow these steps:

Step 1: Expand both sides of the inequality:

2(4y-8) > 3(4y+5)
8y - 16 > 12y + 15

Step 2: Simplify both sides by combining like terms:

-16 > 4y + 15

Step 3: Subtract 4y from both sides to isolate the variable term:

-16 - 4y > 15

Step 4: Move the constant term to the other side by subtracting 15 from both sides:

-16 - 4y - 15 > 0 - 15
-31 - 4y > -15

Step 5: Add 31 to both sides to isolate the variable term:

-31 - 4y + 31 > -15 + 31
-4y > 16

Step 6: Divide both sides by -4, remembering to reverse the inequality sign when dividing by a negative number:

(-4y) / -4 < 16 / -4
y < -4

Therefore, the solution to the inequality 2(4y-8) > 3(4y+5) is y < -4.