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To solve this equation, let's break it down into manageable steps! First, we have \(3y + 9 = 8y - 45\). Start by getting all the terms involving \(y\) on one side and constant terms on the other side. Subtract \(3y\) from both sides: \(9 = 8y - 3y - 45\) This simplifies to: \(9 = 5y - 45\) Next, add \(45\) to both sides: \(54 = 5y\) Now, divide both sides by \(5\): \(y = \frac{54}{5} = 10.8\) And there you have it! The solution is \(y = 10.8\). Now, it’s time to check your solution by substituting it back into the original equation to ensure both sides are equal. Happy solving!