To solve the expression \((\frac{13}{23} + \frac{-15}{4}) + (\frac{10}{23} - \frac{1}{4})\), we need to follow these steps:

1. Simplify the terms inside the parentheses.
2. Combine the results.

Let's start with the first part: \(\frac{13}{23} + \frac{-15}{4}\).

To add these fractions, we need a common denominator. The least common multiple (LCM) of 23 and 4 is 92.

Convert each fraction to have a denominator of 92:

\[
\frac{13}{23} = \frac{13 \times 4}{23 \times 4} = \frac{52}{92}
\]

\[
\frac{-15}{4} = \frac{-15 \times 23}{4 \times 23} = \frac{-345}{92}
\]

Now add the fractions:

\[
\frac{52}{92} + \frac{-345}{92} = \frac{52 - 345}{92} = \frac{-293}{92}
\]

Next, let's simplify the second part: \(\frac{10}{23} - \frac{1}{4}\).

Again, convert each fraction to have a denominator of 92:

\[
\frac{10}{23} = \frac{10 \times 4}{23 \times 4} = \frac{40}{92}
\]

\[
\frac{1}{4} = \frac{1 \times 23}{4 \times 23} = \frac{23}{92}
\]

Now subtract the fractions:

\[
\frac{40}{92} - \frac{23}{92} = \frac{40 - 23}{92} = \frac{17}{92}
\]

Finally, combine the results of the two parts:

\[
\frac{-293}{92} + \frac{17}{92} = \frac{-293 + 17}{92} = \frac{-276}{92}
\]

Simplify the fraction:

\[
\frac{-276}{92} = \frac{-276 \div 92}{92 \div 92} = \frac{-3}{1} = -3
\]

So, the value of the expression \((\frac{13}{23} + \frac{-15}{4}) + (\frac{10}{23} - \frac{1}{4})\) is \(-3\).