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Express as a single fraction in its simplest form. 1+y-(y+2)/(y-1)

Express as a single fraction in its simplest form.\newline1+y−y+2y−1 1+y-\frac{y+2}{y-1}

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Full solution

Q. Express as a single fraction in its simplest form.\newline1+y−y+2y−1 1+y-\frac{y+2}{y-1}
  1. Combine terms in numerator: Combine the terms in the numerator: 1+y−(y+2)1 + y - (y + 2).
  2. Distribute negative sign: Distribute the negative sign to the terms inside the parentheses: 1+y−y−21 + y - y - 2.
  3. Simplify expression: Simplify the expression by combining like terms: 1−21 - 2.
  4. Final simplified expression: The simplified expression is now −1y−1-\frac{1}{y-1}.

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