Final answer:
Kassie's result for the equation 2(y+3) = 16 is y = 5.
Step-by-step explanation:
In solving the given equation, 2(y+3) = 16, Kassie employed fundamental algebraic principles. First, she distributed the 2 to both terms within the parentheses, resulting in 2y + 6 = 16. To isolate the term with the variable, Kassie subtracted 6 from both sides, leading to the simplified equation 2y = 10. Lastly, she divided both sides by 2, yielding the final solution: y = 5.
Kassie's solution methodically followed standard algebraic procedures. The initial distribution of the 2 was correctly executed, and subsequent simplification steps were accurately performed. The subtraction of 6 and the division by 2 maintained the equality of the equation throughout the process.
This solution showcases Kassie's adept understanding of algebraic concepts and her systematic approach to problem-solving. Each step was executed with precision, culminating in the accurate determination of the variable's value.