Convert: \(3y = 112/7 - 43/7 = 69/7\).

["Title: How to Convert (3y = \frac{112}{7} - \frac{43}{7} = \frac{69}{7}): Step-by-Step Guide", "---", "Introduction\nSolving linear equations is a fundamental skill in algebra, but simplifying and converting equations step-by-step is equally important—especially when working with fractions. In this article, we’ll break down the conversion of the equation:", "[ 3y = \frac{112}{7} - \frac{43}{7} = \frac{69}{7} ]", "into a clean, solved form. Whether you’re preparing for exams, studying for homework, or just reinforcing your algebra skills, understanding this conversion process helps build solid problem-solving confidence.", "---", "### Step 1: Simplify the Right-Hand Side Fractions", "Start by evaluating the right-hand side of the equation:", "[ \frac{112}{7} - \frac{43}{7} ]", "Since the denominators are the same, subtract the numerators directly:", "[ \frac{112 - 43}{7} = \frac{69}{7} ]", "So the equation becomes:", "[ 3y = \frac{69}{7} ]", "---", "### Step 2: Isolate the Variable ( y )", "To solve for ( y ), divide both sides of the equation by 3 (or multiply by ( \frac{1}{3} )):", "[ y = \frac{69}{7} \div 3 ]", "Write 3 as a fraction:", "[ y = \frac{69}{7} \ imes \frac{1}{3} ]", "Multiply numerators and denominators:", "[ y = \frac{69}{21} ]", "---", "### Step 3: Simplify the Final Fraction (Optional)", "The fraction ( \frac{69}{21} ) can be simplified by dividing numerator and denominator by their greatest common divisor (GCD). The GCD of 69 and 21 is 3:", "[ y = \frac{69 \div 3}{21 \div 3} = \frac{23}{7} ]", "Thus, the fully simplified solution is:", "[ y = \frac{23}{7} ]", "---", "### Why This Conversion Matters", "- Clarity: Breaking the conversion into clear steps makes the logic easier to follow.\n- Accuracy: Working through fractions carefully avoids common algebraic errors.\n- Skill Building: Mastering such steps strengthens your foundation in algebra, essential for advanced math topics.", "---", "### Final Answer Summary", "Starting from:\n[ 3y = \frac{112}{7} - \frac{43}{7} = \frac{69}{7} ]\nThen,\n[ y = \frac{69}{7} \div 3 = \frac{23}{7} ]", "[\n\boxed{y = \frac{23}{7}}\n]", "---", "Keyword-rich SEO elements:\n- Keywords: (3y = \frac{112}{7} - \frac{43}{7} = \frac{69}{7}), solve linear equation, simplify fractions, algebra tips, fraction conversion, step-by-step algebra, simplify (3y = \frac{69}{7})", "Optimized for search intent related to fraction simplification, equation solving, and step-by-step algebra guidance.", "---", "Conclusion\nConverting and solving equations like (3y = \frac{112}{7} - \frac{43}{7} = \frac{69}{7}) doesn’t have to be daunting. By simplifying fractions and isolating variables step-by-step, even complex algebra becomes manageable. Practice these techniques — they’ll serve you well in math and beyond!", "---", "Want more clear, concise algebra tutorials? Keep reading our math guides for tips on solving equations, simplifying expressions, and mastering fractions."]