simplify the expression by combining like terms 2/8+3/10y-5/8+4/10y (1 point)

Answer 1

To simplify the expression \( \frac{2}{8} + \frac{3}{10}y - \frac{5}{8} + \frac{4}{10}y \), follow these steps:

1. Combine the constant terms \(\frac{2}{8}\) and \(-\frac{5}{8}\): \[ \frac{2}{8} - \frac{5}{8} = \frac{2 - 5}{8} = -\frac{3}{8} \]

2. Combine the \(y\) terms \(\frac{3}{10}y\) and \(\frac{4}{10}y\): \[ \frac{3}{10}y + \frac{4}{10}y = \frac{3 + 4}{10}y = \frac{7}{10}y \]

3. Now combine both results: \[ -\frac{3}{8} + \frac{7}{10}y \]

So the simplified expression is: \[ -\frac{3}{8} + \frac{7}{10}y \]