\( 4(2 y-6)=16 \).

To solve the equation \( 4(2y - 6) = 16 \), first, simplify the left side by distributing the 4: \( 8y - 24 = 16 \). Next, add 24 to both sides to isolate the \( y \) term: \( 8y = 40 \). Finally, divide both sides by 8 to solve for \( y \): \( y = 5 \). Fun fact: Equations like this one are like puzzles! Each step you take is like revealing a piece of the picture, leading you closer to the final answer. Solving equations helps sharpen problem-solving skills, which are useful in everyday life—from budgeting your finances to planning a road trip! In real-world scenarios, understanding how to manipulate equations can help you solve practical problems. For instance, if you're planning to build a fence around a garden and need to calculate the total cost based on the length, mastering these algebraic manipulations will allow you to set up and solve equations related to your budget and materials efficiently!