Math

QuestionSolve the equation 9(y8)=189(y-8)=18 for yy.

Studdy Solution

STEP 1

Assumptions1. The equation is 9(y8)=189(y-8)=18 . We need to solve for yy

STEP 2

First, we need to distribute the 99 to both terms inside the parentheses.9(y8)=9y729(y-8) =9y -72

STEP 3

Now, we can set the equation equal to 1818.
9y72=189y -72 =18

STEP 4

Next, we need to isolate 9y9y by adding 7272 to both sides of the equation.
9y72+72=18+729y -72 +72 =18 +72

STEP 5

implify the equation.
9y=909y =90

STEP 6

Finally, we need to solve for yy by dividing both sides of the equation by 99.
y=909y = \frac{90}{9}

STEP 7

Calculate the value of yy.
y=909=10y = \frac{90}{9} =10The solution to the equation is y=10y=10.

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