Final answer:
To find the difference, subtract (x + 4y) from (92 - 9y) using the distributive property. Simplify by combining like terms.
Step-by-step explanation:
To find the difference, we need to subtract (x + 4y) from (92 - 9y). Using the distributive property, we can expand (x + 4y) as -x - 4y. Now, let's subtract -x - 4y from 92 - 9y.
(92 - 9y) - (-x - 4y) = 92 - 9y + x + 4y
Simplifying further, we can combine like terms:
92 + x - 9y + 4y = 92 + x - 5y
Therefore, the expression that represents the difference is 92 + x - 5y.
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