If y = -4, evaluate the following expression: 20 - y/5 + y

Rationale

20 - y/5 + y evaluates to 24 when y = -4.

Substituting -4 for y, the expression becomes 20 - (-4)/5 + (-4). This simplifies to 20 + 0.8 - 4, which ultimately equals 24.

A (-6) YOUR ANSWER

To arrive at -6, one would need to miscalculate the expression. If y is incorrectly substituted or arithmetic is not properly followed through, one might mistakenly arrive at this value, but it does not reflect the correct evaluation of the expression.

B (6) YOUR ANSWER

Choosing 6 suggests an erroneous simplification of the expression. This choice could arise from incorrect addition or subtraction during the calculation process. However, the correct evaluation shows that the result is significantly higher than 6.

C (12) YOUR ANSWER

Selecting 12 indicates a misunderstanding of how to process the terms in the expression. This value might arise from incorrect handling of the division or addition, but it fails to account for the proper evaluation of all components, resulting in a substantial underestimation of the true result.

D (24) CORRECT

This is the correct answer, as substituting -4 for y in the expression yields 24. The calculations confirm this outcome through step-by-step evaluation of the expression.

Conclusion

The expression 20 - y/5 + y simplifies to 24 when substituting y = -4. Each incorrect choice demonstrates common arithmetic mistakes, such as miscalculating the addition or misinterpreting the order of operations. Understanding the correct evaluation process reveals the accurate result and reinforces the importance of careful calculation in mathematical expressions.

If y = -4, evaluate the following expression: 20 - y/5 + y

20 - y/5 + y evaluates to 24 when y = -4.

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