To simplify the expression \( \frac{2}{8}x + \frac{3}{10}y - \frac{5}{8}x + \frac{4}{10}y \), we can start by combining like terms.
First, let's group the \( x \) terms together and the \( y \) terms together:
\[ \left( \frac{2}{8}x - \frac{5}{8}x \right) + \left( \frac{3}{10}y + \frac{4}{10}y \right) \]
Now, let's simplify the \( x \) terms:
\[ \frac{2}{8}x - \frac{5}{8}x = \left( \frac{2 - 5}{8} \right)x = \frac{-3}{8}x \]
Next, let's simplify the \( y \) terms:
\[ \frac{3}{10}y + \frac{4}{10}y = \left( \frac{3 + 4}{10} \right)y = \frac{7}{10}y \]
Now, we can combine these results:
\[ \frac{-3}{8}x + \frac{7}{10}y \]
Thus, the simplified expression is:
\[ \frac{-3}{8}x + \frac{7}{10}y \]
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