Write the following expression using the fewest possible terms: ( 5 + 3/8 y) + ( 1/4 y - 2) (1 point) Responses 1/8 y − 3 1/8 y − 3 1/8 y + 3 1/8 y + 3 5/8 y − 3 5/8 y − 3 5/8 y + 3

Answer 1

To simplify the expression \((5 + \frac{3}{8}y) + (\frac{1}{4}y - 2)\):

1. First, distribute and simplify: \[ 5 + \frac{3}{8}y + \frac{1}{4}y - 2 \]

2. Combine like terms:

   • The constant terms: \(5 - 2 = 3\)
   • The \(y\) terms: \[ \frac{3}{8}y + \frac{1}{4}y = \frac{3}{8}y + \frac{2}{8}y = \frac{5}{8}y \]

3. Putting it all together: \[ \frac{5}{8}y + 3 \]

Therefore, the simplified expression with the fewest possible terms is: \[ \frac{5}{8}y + 3 \]

Among the provided response options, the answer that matches this simplification is \(5/8 y + 3\).