Final answer:
The problem 12 + 3*(2y - 3) is an exercise in the order of operations. Simplifying the expression step by step following PEMDAS rule, the final answer is 6y + 3.
Step-by-step explanation:
This is a mathematics problem that's typically found in middle school algebra. The problem is an exercise in applying the order of operations: parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right), otherwise known as PEMDAS. This rule is fundamental to solving all math problems.
So, you start by simplifying the expression inside the parentheses: 2y - 3 remains as is, because without knowing the value of y, we can't compute it. But we can continue with the order of operations. Next step is to perform the multiplication: 3 multiplied by (2y - 3) is 6y - 9.
Finally, we perform addition, so the entire expression simplified is: 12 + 3*(2y - 3) = 12 + 6y - 9. Further simplifying this yields the final answer of: 6y + 3.
Learn more about Order of Operations