Question

solve for y: \\(\frac{y + 4}{10} = \frac{7}{8}\\) (make sure to start your answer with \y = \) (leave your answer as a reduced fraction)

Explanation:

Step1: Cross - multiply to eliminate fractions

Given the equation \(\frac{y + 4}{10}=\frac{7}{8}\), cross - multiplying gives us \(8(y + 4)=10\times7\).

Step2: Distribute and simplify

First, distribute the 8 on the left side: \(8y+32 = 70\).
Then, subtract 32 from both sides of the equation: \(8y=70 - 32\).
Simplify the right side: \(8y = 38\).

Step3: Solve for y

Divide both sides of the equation by 8: \(y=\frac{38}{8}\).
Then, reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So \(y=\frac{19}{4}\).

Answer:

\(y=\frac{19}{4}\)