Let's simplify the expression \( \frac{2}{8}x + \frac{3}{10}y - \frac{5}{8}x + \frac{4}{10}y \) by combining like terms.
First, we'll rewrite the expression:
\[ \left( \frac{2}{8}x - \frac{5}{8}x \right) + \left( \frac{3}{10}y + \frac{4}{10}y \right) \]
Now simplify the \(x\) terms:
\[ \frac{2}{8} - \frac{5}{8} = \frac{2 - 5}{8} = \frac{-3}{8}x \]
Next, simplify the \(y\) terms:
\[ \frac{3}{10} + \frac{4}{10} = \frac{3 + 4}{10} = \frac{7}{10}y \]
Putting it all together, the simplified expression is:
\[ -\frac{3}{8}x + \frac{7}{10}y \]
This matches with the option "negative 3 eighths x plus 7 tenths y."
So, the final answer is:
\[ -\frac{3}{8}x + \frac{7}{10}y \]
The answer is: negative 3 eighths x plus 7 tenths y.
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