\[ y = 3\left(\frac{27}{11}\right) - 5 = \frac{81}{11} - \frac{55}{11} = \frac{26}{11} \]

["Understanding the Equation: Simplifying ( y = 3\left(\frac{27}{11}\right) - 5 = \frac{81}{11} - \frac{55}{11} = \frac{26}{11} )", "Solving equations step by step is a fundamental skill in algebra, enabling clear understanding of mathematical expressions and their equivalence. This article breaks down the calculation behind the expression:\n[ y = 3\left(\frac{27}{11}\right) - 5 ]\nAnd demonstrates how it simplifies to ( y = \frac{26}{11} ).", "### Step-by-Step Breakdown", "Start with the original equation:\n[\ny = 3\left(\frac{27}{11}\right) - 5\n]", "First, multiply 3 by the fraction:\n[\n3 \ imes \frac{27}{11} = \frac{81}{11}\n]", "Now rewrite the expression:\n[\ny = \frac{81}{11} - 5\n]", "But to subtract cleanly, convert 5 into a fraction with denominator 11:\n[\n5 = \frac{55}{11}\n]", "Now combine the terms:\n[\ny = \frac{81}{11} - \frac{55}{11} = \frac{81 - 55}{11} = \frac{26}{11}\n]", "### Why This Simplification Matters", "This process showcases how rational numbers with the same denominator can be subtracted by subtracting numerators while keeping the denominator fixed. It also demonstrates common techniques:\n- Converting whole numbers to fractions\n- Finding a common denominator\n- Performing straightforward arithmetic on fractions", "Such simplifications are essential not only in homework problems but also in real-world applications involving measurements, ratios, and financial calculations.", "### Final Value", "Thus, the simplified solution is:\n[\ny = \frac{26}{11}\n]", "This fractional result is already in simplest form since 26 and 11 share no common divisors besides 1.", "### Summary", "Understanding how to simplify complex-looking expressions like ( y = 3\left(\frac{27}{11}\right) - 5 ) strengthens algebraic fluency. The key steps — multiplying fractions, converting whole numbers into fractions, and reducing differences — form the foundation for more advanced problem-solving in math and science.", "---", "Keywords: simplify fractions, solve algebra, rational numbers, math tutorial, fraction subtraction, algebraic simplification, ( y = 3\left(\frac{27}{11}\right) - 5 ), step-by-step math, example calculation, fraction arithmetic, ( \frac{26}{11} ) explanation"]