Solve x/y-1-x/2-2y | Microsoft Math Solver

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\frac{x}{y-1}-\frac{x}{2\left(-y+1\right)}

Factor 2-2y.

\frac{2x}{2\left(y-1\right)}-\frac{-x}{2\left(y-1\right)}

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of y-1 and 2\left(-y+1\right) is 2\left(y-1\right). Multiply \frac{x}{y-1} times \frac{2}{2}. Multiply \frac{x}{2\left(-y+1\right)} times \frac{-1}{-1}.

\frac{2x-\left(-x\right)}{2\left(y-1\right)}

Since \frac{2x}{2\left(y-1\right)} and \frac{-x}{2\left(y-1\right)} have the same denominator, subtract them by subtracting their numerators.

\frac{2x+x}{2\left(y-1\right)}

Do the multiplications in 2x-\left(-x\right).

\frac{3x}{2\left(y-1\right)}

Combine like terms in 2x+x.

\frac{3x}{2y-2}

Expand 2\left(y-1\right).