En soustrayant 3, on obtient \( 4y = 39 \).
["Bullet Point Summary: En soustrayant 3, on obtient ( 4y = 39 )\nHow Subtraction Simplifies Linear Equations", "When solving linear equations, one of the foundational steps is isolating the variable by eliminating constants—a process clearly demonstrated when subtracting 3 from both sides yields ( 4y = 39 ). This arithmetic move is essential for uncovering the value of ( y ) and strengthens algebraic reasoning.", "### Key Points:", "- The Equation Transformation: Starting from an initial expression involving ( y ), subtracting 3 from both sides preserves equality and simplifies the equation. This step isolates the term with ( y ), setting the stage for further solution.\n- Why It Matters: Subtracting 3 eliminates an additive constant, helping solve for ( y ) in equations like ( 4y + 3 = 39 ). It’s a core technique in simplifying equations before applying division or other operations.\n- Mathematical Insight: This operation reflects the balance principle of equations—whatever is done to one side must be done to the other. By subtracting 3, we maintain equality while reducing complexity.\n- Solving the Resulting Equation: With ( 4y = 39 ), dividing both sides by 4 gives ( y = \frac{39}{4} ), or ( y = 9.75 ), demonstrating how subtraction feeds directly into exact solutions.\n- Practical Applications: This pattern appears in real-world problems involving linear relationships—budgeting, physics, and data modeling—where steady, systematic manipulation simplifies complex expressions.", "In summary, subtracting 3 from both sides to reach ( 4y = 39 ) exemplifies a critical algebraic strategy. Mastering such subtractions empowers learners to solve equations faster and with greater confidence, turning unknown values into clear, computable results.", "#LinearEquations #Algebra #Equations #MathTips #SolvingEquations #Education", "---", "Stay tuned for more step-by-step guides to mastering algebra and building strong problem-solving skills."]
