To solve the equation \( \frac{3}{8}y = \frac{2^7}{8} = 13 \), we first need to simplify the right side.
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Calculate \( 2^7 \): \[ 2^7 = 128 \]
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Now, calculate \( \frac{2^7}{8} \): \[ \frac{128}{8} = 16 \]
So, we rewrite the equation: \[ \frac{3}{8}y = 16 \]
Next, to solve for \( y \), we can multiply both sides by the reciprocal of \( \frac{3}{8} \), which is \( \frac{8}{3} \): \[ y = 16 \cdot \frac{8}{3} \]
Now calculating the right side: \[ y = \frac{128}{3} \]
Thus, the solution is: \[ y = \frac{128}{3} \] or approximately \( 42.67 \).