Question

1. \\(\frac{27y - 15}{3} = 85\\)

Explanation:

Step1: Multiply both sides by 3

To eliminate the denominator, multiply both sides of the equation \(\frac{27y - 15}{3}=85\) by 3. This gives \(27y - 15 = 85\times3\). Calculating the right - hand side, \(85\times3 = 255\), so the equation becomes \(27y-15 = 255\).

Step2: Add 15 to both sides

To isolate the term with \(y\), add 15 to both sides of the equation \(27y - 15=255\). We get \(27y-15 + 15=255 + 15\), which simplifies to \(27y=270\).

Step3: Divide both sides by 27

To solve for \(y\), divide both sides of the equation \(27y = 270\) by 27. So, \(\frac{27y}{27}=\frac{270}{27}\), and \(y = 10\).

Answer:

\(y = 10\)