Substitute into first: \( 2(3) + 3y = 12 \) → \( 6 + 3y = 12 \) → \( 3y = 6 \) → \( y = 2 \)
["Title: Solving the Linear Equation: Step-by-Step Substitution to Find ( y = 2 )", "Meta Description:\nLearn how to solve the equation ( 2(3) + 3y = 12 ) using substitution and basic algebra. Discover the solution step by step with clear, beginner-friendly explanations.", "---", "### Mastering Linear Equations: How to Solve ( 2(3) + 3y = 12 )", "Solving linear equations is a fundamental skill in algebra, essential for students, teachers, and anyone looking to strengthen their problem-solving abilities. In this article, we’ll walk through solving the equation ( 2(3) + 3y = 12 ), demonstrating substitution and key algebraic steps that lead to the solution ( y = 2 ).", "---", "### Step 1: Simplify the Equation", "Start by simplifying the given expression:", "[\n2(3) + 3y = 12\n]", "Multiply:", "[\n6 + 3y = 12\n]", "This simplification prepares the equation for further solving.", "---", "### Step 2: Isolate the Variable Term", "To solve for ( y ), isolate the term involving ( y ). Subtract 6 from both sides:", "[\n6 + 3y - 6 = 12 - 6\n]", "This simplifies cleanly to:", "[\n3y = 6\n]", "---", "### Step 3: Solve for ( y ) Using Division", "Now divide both sides by 3 to find ( y ):", "[\n\frac{3y}{3} = \frac{6}{3}\n]", "[\ny = 2\n]", "---", "### Why This Process Works: Algebraic Principles", "- Substitution: Though not explicit in numbers, the idea of substitution appears in isolating variables.\n- Operation Balance: Every step involves performing the same operation on both sides, preserving equality.\n- Inverse Operations: Subtracting 6 cancels the constant on the left; division undoes multiplication by 3.", "---", "### Final Answer", "The solution to the equation is:", "[\n\boxed{y = 2}\n]", "---", "### Practice the Steps Daily", "Understanding how to solve equations like ( 2(3) + 3y = 12 ) builds confidence in algebra. Practice similar problems by isolating variables through addition, subtraction, and multiplication — your foundation in math grows stronger every time!", "---", "### Key Takeaways", "- Simplify expressions before solving.\n- Use inverse operations carefully to isolate the unknown.\n- Each step maintains equation balance.\n- Substitution shows up implicitly in isolating variables.\n- Real-world applications include budgeting, physics, and data analysis.", "Start solving equations confidently — your journey in math begins now!", "---", "Keywords: solve (2(3) + 3y = 12), linear equation solving, algebraic steps, substitution method, simplify equation, solving for (y), step-by-step algebra, how to solve 3y = 6, intermediate algebra, equation solving tutorial."]
