Question

solve for y.
\\(\frac{y + 2}{8} = \frac{4}{3}\\)
simplify your answer as much as possible.
\\(y = \square\\)

Explanation:

Step1: Cross - multiply to eliminate fractions

To solve the equation \(\frac{y + 2}{8}=\frac{4}{3}\), we cross - multiply. Cross - multiplying gives us \(3(y + 2)=8\times4\).

Step2: Simplify both sides of the equation

First, simplify the right - hand side: \(8\times4 = 32\), so the equation becomes \(3(y + 2)=32\).
Then, distribute the 3 on the left - hand side: \(3y+6 = 32\).

Step3: Isolate the variable term

Subtract 6 from both sides of the equation: \(3y+6 - 6=32 - 6\).
Simplifying both sides, we get \(3y = 26\).

Step4: Solve for y

Divide both sides of the equation by 3: \(y=\frac{26}{3}\).

Answer:

\(y = \frac{26}{3}\)