Solve for Y in y - 4⅔ = 8: Mixed Number Equation Guide

To solve the equation $y - 4\frac{2}{3} = 8$, follow these steps:

• Step 1: Identify the given equation:
  $y - 4\frac{2}{3} = 8$.
• Step 2: Solve for $y$ by eliminating the subtraction of $4\frac{2}{3}$. We do this by adding $4\frac{2}{3}$ to both sides of the equation:
  $y - 4\frac{2}{3} + 4\frac{2}{3} = 8 + 4\frac{2}{3}$.
• Step 3: Simplify the left side:
  Since $4\frac{2}{3} - 4\frac{2}{3} = 0$, the left side simplifies to just $y$.
  Thus, $y = 8 + 4\frac{2}{3}$.
• Step 4: Simplify the right side by converting the mixed number to an improper fraction:
  Convert $4\frac{2}{3}$ to an improper fraction: Multiply 4 by 3 and add 2, giving $\frac{14}{3}$.
  Therefore, add $8 + \frac{14}{3}$. Convert 8 to a fraction with denominator 3, which is $\frac{24}{3}$.
  Now, add these fractions:
  $\frac{24}{3} + \frac{14}{3} = \frac{38}{3}$.
• Step 5: Convert back to a mixed number (if desired):
  $\frac{38}{3} = 12\frac{2}{3}$.

Therefore, the solution to the problem is $y = 12\frac{2}{3}$.