Add 7 to both sides: \( 2y = 16 \).

["# Solving ( 2y = 16 ): Step-by-Step Guide to Add 7 to Both Sides", "Understanding how to solve linear equations is essential for mastering algebra. One common operation students encounter is adding the same value to both sides to isolate the variable. In this article, we’ll explore how to solve the equation ( 2y = 16 ) by adding 7 to both sides and why this step is crucial in finding the correct solution.", "## What Is Solving a Linear Equation?", "A linear equation like ( 2y = 16 ) represents a relationship between a variable (here, ( y )) and constants. Our goal is to isolate ( y ) to determine its value. A powerful technique involves applying equal operations—meaning the same action performed on both sides—to preserve the equation’s balance.", "## Why Add 7 to Both Sides?", "Adding 7 to both sides ensures the equation remains balanced while moving the constant term away from the variable. This step prepares the equation for simplification and makes the next move—dividing by 2—straightforward.", "## Step-by-Step Solution: Adding 7 to Both Sides", "### Step 1: Start with the original equation\n[\n2y = 16\n]", "### Step 2: Add 7 to both sides\n[\n2y + 7 = 16 + 7\n]", "[\n2y + 7 = 23\n]", "Adding 7 clears the constant from the left side and prepares the equation for solving for ( y ).", "### Step 3: Solve for ( y )\nNow divide both sides by 2:\n[\ny = \frac{23}{2}\n]", "### Final Answer\n[\ny = 11.5\n]", "## Summary of the Key Step: Adding 7\nAdding 7 to both sides transformed the equation into a simpler form while maintaining equality. This step is essential before dividing to isolate ( y ), showing how strategic modifications strengthen the solving process.", "## Why This Matters – Additional Tips\n- Always perform the same operation on both sides to preserve equality.\n- Use real-world examples (like adjusting temperatures or balances) to visualize the concept.\n- Practice multiple steps: isolate the variable by reversing operations (add/subtract → divide/multiply).", "Mastering this foundational skill helps build confidence and accuracy in algebra — key for higher-level math!", "---", "Remember: Adding 7 to both sides of ( 2y = 16 ) simplifies the path to finding ( y ), and combining it with division achieves the solution efficiently. Keep practicing — algebra gets easier with each step!"]