To simplify the expression \( \frac{2}{8}x + \frac{3}{10}y - \frac{5}{8}x + \frac{4}{10}y \), we will combine like terms.
First, let's combine the terms with \( x \):
\[ \frac{2}{8}x - \frac{5}{8}x = \left( \frac{2 - 5}{8} \right)x = \frac{-3}{8}x \]
Now, let's combine the terms with \( y \):
\[ \frac{3}{10}y + \frac{4}{10}y = \left( \frac{3 + 4}{10} \right)y = \frac{7}{10}y \]
Putting it all together, we have:
\[ \frac{-3}{8}x + \frac{7}{10}y \]
Thus, the simplified expression is:
\(-\frac{3}{8}x + \frac{7}{10}y\)
This corresponds to the answer: −38x+710y (negative 3 eighths x plus 7 tenths y).
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