Math

QuestionSimplify the expression: 7(y9)2y7(y-9)-2y.

Studdy Solution

STEP 1

Assumptions1. The expression to simplify is 7(y9)y7(y-9)-y.

STEP 2

First, we need to distribute the7 to both terms inside the parentheses.
7(y9)=7y637(y-9) =7y -63

STEP 3

Now, replace 7(y9)7(y-9) in the original expression with 7y637y -63.
7(y9)2y=7y632y7(y-9)-2y =7y -63 -2y

STEP 4

Next, combine like terms. In this case, the like terms are 7y7y and 2y-2y.
7y632y=(7y2y)637y -63 -2y = (7y -2y) -63

STEP 5

Subtract 2y2y from 7y7y.
(7y2y)63=5y63(7y -2y) -63 =5y -63The expression 7(y9)2y7(y-9)-2y simplifies to 5y635y -63.

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