y = 2\left(\frac{4}{3}\right) + 3 = \frac{8}{3} + 3 = \frac{8}{3} + \frac{9}{3} = \frac{17}{3}

["### Simplifying and Understanding the Equation: y = 2×(4/3) + 3", "Mathematics often presents us with expressions that, once simplified, reveal elegant clarity and precise values. Consider the equation:", "[\ny = 2\left(\frac{4}{3}\right) + 3\n]", "At first glance, this equation combines simple arithmetic with fractions, but correctly simplifying it is key to understanding the final result.", "#### Step 1: Multiply the Fraction\nThe expression starts with ( 2 \ imes \frac{4}{3} ). Multiplying a whole number by a fraction means multiplying the numerator:\n[\n2 \ imes \frac{4}{3} = \frac{8}{3}\n]\nThis step is straightforward—just multiply the top number (numerator) by the fraction. So now, the equation becomes:\n[\ny = \frac{8}{3} + 3\n]", "#### Step 2: Convert Mixed Terms to Fractions\nTo add, it’s easiest to express 3 as a fraction with the same denominator as ( \frac{8}{3} ). Since ( 3 = \frac{9}{3} ), rewrite the equation:\n[\ny = \frac{8}{3} + \frac{9}{3}\n]", "#### Step 3: Add the Fractions\nWith common denominators, add the numerators while keeping the denominator:\n[\ny = \frac{8 + 9}{3} = \frac{17}{3}\n]", "#### Final Value\nThe simplified form is:\n[\ny = \frac{17}{3}\n]\nWhich is an improper fraction equal to approximately ( 5\frac{2}{3} ) as a mixed number.", "---", "### Why Simplifying Matters\nSimplifying algebraic expressions—especially when fractions are involved—ensures clarity in calculations and reduces the risk of errors in further computations. Whether solving equations, graphing functions, or preparing for more advanced math, mastering fraction arithmetic is essential.", "In summary, ( y = 2\left(\frac{4}{3}\right) + 3 ) simplifies cleanly to ( \frac{17}{3} ), demonstrating how careful step-by-step manipulation reveals the true value.", "---", "### SEO Keywords:\n- Simplify y = 2×(4/3) + 3\n- How to add fractions and decimals\n- Step-by-step algebraic simplification\n- Convert fractions: 3 to 9/3\n- Fractions addition: 8/3 + 9/3\n- Simplify improper fraction\n- Learn math step by step", "---", "This article not only solves the equation clearly but also educates on practical algebra techniques, helping readers strengthen foundational math skills with SEO-optimized content."]