Take away `8x - 7y + 8p + 10 q` from `10 x + 12y - 7p + 9q`.

Answer

To solve the problem of taking away \(8x - 7y + 8p + 10q\) from \(10x + 12y - 7p + 9q\), we can follow these steps:

### Step 1: Write the expression
We need to subtract the second expression from the first:
\[ (10x + 12y - 7p + 9q) - (8x - 7y + 8p + 10q) \]

### Step 2: Distribute the negative sign
When we subtract, we need to distribute the negative sign across the second expression:
\[ 10x + 12y - 7p + 9q - 8x + 7y - 8p - 10q \]

### Step 3: Combine like terms
Now, we will combine the like terms (terms with the same variable):
- For \(x\) terms: \(10x - 8x = 2x\)
- For \(y\) terms: \(12y + 7y = 19y\)
- For \(p\) terms: \(-7p - 8p = -15p\)
- For \(q\) terms: \(9q - 10q = -q\)

Putting it all together, we have:
\[ 2x + 19y - 15p - q \]

### Final Answer
The result of taking away \(8x - 7y + 8p + 10q\) from \(10x + 12y - 7p + 9q\) is:
\[ \boxed{2x + 19y - 15p - q} \]