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QuestionEvaluate the expression 11y+−2y−8y−511y + \frac{-2y - 8y}{-5} at y=−5y = -5 and simplify.

Studdy Solution

STEP 1

Assumptions1. The algebraic expression is 11y+−y−8y−511y + \frac{-y -8y}{-5} . We are asked to evaluate this expression at y=−5y = -5

STEP 2

First, simplify the expression inside the fraction.
−2y−8y=−10y-2y -8y = -10ySo, the expression becomes11y+−10y−511y + \frac{-10y}{-5}

STEP 3

Next, simplify the fraction by dividing −10y-10y by −5-5.
−10y−5=2y\frac{-10y}{-5} =2ySo, the expression becomes11y+2y11y +2y

STEP 4

Now, simplify the expression by combining like terms.
11y+2y=13y11y +2y =13y

STEP 5

Now that we have simplified the expression, we can substitute y=−5y = -5 into the expression.
13y=13(−5)13y =13(-5)

STEP 6

Finally, calculate the value of the expression.
13(−5)=−6513(-5) = -65So, when y=−5y = -5, the value of the expression is −65-65.

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