y-9>-16 the solutions is y> i don't get this?

add 9 to each side

y>-5

oops, y>-7

To understand the solution to the inequality y - 9 > -16, we need to solve it step by step.

Step 1: Add 9 to both sides of the inequality:
y - 9 + 9 > -16 + 9
This simplifies to y > -7.

So, the solution to the inequality y - 9 > -16 is y > -7. This means that y can take any value greater than -7 to make the inequality true.

If you're struggling to understand why y > -7 is the solution, let's break it down further:

In the original inequality, y - 9 > -16, we want to isolate y on one side.

Step 1: Add 9 to both sides: y - 9 + 9 > -16 + 9
This gives us: y > -7

Now let's examine what this means:

If y is greater than -7, then y - 9 will definitely be greater than -16, because subtracting a smaller number (9) from a larger number (y) will give us a larger result than subtracting the same smaller number (9) from a smaller number (-7).

For example:
Let's take y = 0.
When we substitute y = 0 into the inequality y - 9 > -16, we get 0 - 9 > -16, which simplifies to -9 > -16. Since -9 is indeed greater than -16, this confirms that y > -7 is true when y = 0.

We can repeat this process for any value of y greater than -7, and the inequality will always hold.