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Solve for y. Express your answer as a proper or improper fraction in simplest terms. -(1)/(2)-(4)/(9)y=(1)/(8) Answer: y=

Solve for y y . Express your answer as a proper or improper fraction in simplest terms.\newline−12−49y=18 -\frac{1}{2}-\frac{4}{9} y=\frac{1}{8} \newlineAnswer: y= y=

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Q. Solve for y y . Express your answer as a proper or improper fraction in simplest terms.\newline−12−49y=18 -\frac{1}{2}-\frac{4}{9} y=\frac{1}{8} \newlineAnswer: y= y=
  1. Identify Given Equation and Goal: Identify the given equation and the goal.\newlineWe are given the equation −12−49y=18-\frac{1}{2}-\frac{4}{9}y=\frac{1}{8} and we need to solve for yy.
  2. Isolate Term Containing y: Isolate the term containing y.\newlineTo do this, we will add (1)/(2)(1)/(2) to both sides of the equation to move the constant term to the right side.\newline−(1)/(2)+(1)/(2)−(4)/(9)y=(1)/(8)+(1)/(2)-(1)/(2) + (1)/(2) - (4)/(9)y = (1)/(8) + (1)/(2)\newlineThis simplifies to:\newline−(4)/(9)y=(1)/(8)+(1)/(2)-(4)/(9)y = (1)/(8) + (1)/(2)
  3. Convert to Common Denominator: Convert the right side to a common denominator to combine the fractions.\newlineThe common denominator for 88 and 22 is 88, so we convert (1)/(2)(1)/(2) to (4)/(8)(4)/(8).\newline−(4)/(9)y=(1)/(8)+(4)/(8)-(4)/(9)y = (1)/(8) + (4)/(8)\newlineNow we can combine the fractions on the right side:\newline−(4)/(9)y=(5)/(8)-(4)/(9)y = (5)/(8)
  4. Solve for y: Solve for y by dividing both sides by −49-\frac{4}{9}. To isolate yy, we need to divide both sides by −49-\frac{4}{9}. Remember that dividing by a fraction is the same as multiplying by its reciprocal. y=58×(−94)y = \frac{5}{8} \times \left(-\frac{9}{4}\right)
  5. Multiply Fractions: Multiply the fractions to find the value of yy.y=5×−(9)8×4y = \frac{5 \times -(9)}{8 \times 4}y=−4532y = -\frac{45}{32}

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