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\frac{\left(3-6y\right)\times 2}{8\left(1-2y\right)}
Divide \frac{3-6y}{8} by \frac{1-2y}{2} by multiplying \frac{3-6y}{8} by the reciprocal of \frac{1-2y}{2}.
\frac{-6y+3}{4\left(-2y+1\right)}
Cancel out 2 in both numerator and denominator.
\frac{3\left(-2y+1\right)}{4\left(-2y+1\right)}
Factor the expressions that are not already factored.
\frac{3}{4}
Cancel out -2y+1 in both numerator and denominator.