\( 6 y-5 \quad \) when \( y=7 \)
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The Deep Dive
When you substitute \( y = 7 \) into the expression \( 6y - 5 \), you get \( 6(7) - 5 \). That equals \( 42 - 5 \), which simplifies to \( 37 \). So, the result is \( 37 \)! Mathematical expressions like this one can be very handy! They help in solving real-world problems, such as calculating costs, measuring quantities in recipes, or making predictions based on trends. This type of algebra lays the groundwork for more complex equations you’ll encounter later, making it a powerful tool in your math toolbox! Many people often forget to perform basic operations in sequence, leading to mistakes. When dealing with expressions, always remember the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), commonly known as PEMDAS! This will help you avoid simple errors and ensure accurate calculations every time.