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\frac{\left(1-6y\right)\times 2}{8\left(1-2y\right)}
Divide \frac{1-6y}{8} by \frac{1-2y}{2} by multiplying \frac{1-6y}{8} by the reciprocal of \frac{1-2y}{2}.
\frac{-6y+1}{4\left(-2y+1\right)}
Cancel out 2 in both numerator and denominator.
\frac{-6y+1}{-8y+4}
Use the distributive property to multiply 4 by -2y+1.
\frac{\left(1-6y\right)\times 2}{8\left(1-2y\right)}
Divide \frac{1-6y}{8} by \frac{1-2y}{2} by multiplying \frac{1-6y}{8} by the reciprocal of \frac{1-2y}{2}.
\frac{-6y+1}{4\left(-2y+1\right)}
Cancel out 2 in both numerator and denominator.
\frac{-6y+1}{-8y+4}
Use the distributive property to multiply 4 by -2y+1.