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Q. Simplify the expression. Write your answers using integers or improper fractions.Answer:
- Distribute and Multiply: First, we need to distribute the across the terms inside the parentheses.\$(3/2) \times (-1) = - (3/2)\)
- Combine Terms with y: Now, we combine the distributed terms with the original y term. \(y - \left(\frac{3}{4}\right)y - \left(\frac{3}{2}\right)\)
- Find Common Denominator: To combine the \(y\) terms, we need a common denominator. The common denominator for \(1\) and \(4\) is \(4\).\(\newline\)\(y\) can be written as \(\frac{4}{4}y\), so we have:\(\newline\)\(\frac{4}{4}y - \frac{3}{4}y\)
- Subtract y Terms: Now, subtract the y terms: \((\frac{4}{4})y - (\frac{3}{4})y = (\frac{4-3}{4}) \cdot y = (\frac{1}{4})y\)
- Combine Terms: Finally, we combine the \((\frac{1}{4})y\) term with the constant term \(- (\frac{3}{2})\).\(\frac{1}{4}y - \frac{3}{2}\)
- Final Simplified Expression: We leave the expression in terms of \(y\) and as an improper fraction for the constant term.\(\newline\)The final simplified expression is:\(\newline\)\(\frac{1}{4}y - \frac{3}{2}\)
