QuestionSolve for $y$ in the equation $3(y-75)=99$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $3(y-75)=99$ . We are solving for $y$

STEP 2

First, we need to distribute the $$ to both terms in the parentheses.
$(y-75) =y -225$ So, the equation becomes $y -225 =99$

STEP 3

Next, we need to isolate $3y$ by adding $225$ to both sides of the equation.
$3y -225 +225 =99 +225$ This simplifies to $3y =324$

STEP 4

Finally, we need to solve for $y$ by dividing both sides of the equation by $3$ .
$y = \frac{324}{3}$

STEP 5

Calculate the value of $y$ .
$y = \frac{324}{3} =108$ So, the solution to the equation is $y =108$ .

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QuestionSolve for $y$ in the equation $3(y-75)=99$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $3(y-75)=99$ . We are solving for $y$

STEP 2

First, we need to distribute the $$ to both terms in the parentheses.
$(y-75) =y -225$ So, the equation becomes $y -225 =99$

STEP 3

Next, we need to isolate $3y$ by adding $225$ to both sides of the equation.
$3y -225 +225 =99 +225$ This simplifies to $3y =324$

STEP 4

Finally, we need to solve for $y$ by dividing both sides of the equation by $3$ .
$y = \frac{324}{3}$

STEP 5

Calculate the value of $y$ .
$y = \frac{324}{3} =108$ So, the solution to the equation is $y =108$ .

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QuestionSolve for yyy in the equation 3(y−75)=993(y-75)=993(y−75)=99.

Studdy Solution

STEP 1

Assumptions1. The equation is 3(y−75)=993(y-75)=993(y−75)=99 . We are solving for yyy

STEP 2

First, we need to distribute the $$ to both terms in the parentheses.(y−75)=y−225(y-75) =y -225(y−75)=y−225So, the equation becomesy−225=99y -225 =99y−225=99

STEP 3

Next, we need to isolate 3y3y3y by adding 225225225 to both sides of the equation.3y−225+225=99+2253y -225 +225 =99 +2253y−225+225=99+225This simplifies to3y=3243y =3243y=324

STEP 4

Finally, we need to solve for yyy by dividing both sides of the equation by 333.y=3243y = \frac{324}{3}y=3324​

STEP 5

Calculate the value of yyy.y=3243=108y = \frac{324}{3} =108y=3324​=108So, the solution to the equation is y=108y =108y=108.

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QuestionSolve for $y$ in the equation $3(y-75)=99$ .

Assumptions1. The equation is $3(y-75)=99$ . We are solving for $y$

First, we need to distribute the $$ to both terms in the parentheses.
$(y-75) =y -225$ So, the equation becomes $y -225 =99$

Next, we need to isolate $3y$ by adding $225$ to both sides of the equation.
$3y -225 +225 =99 +225$ This simplifies to $3y =324$

Finally, we need to solve for $y$ by dividing both sides of the equation by $3$ .
$y = \frac{324}{3}$

Calculate the value of $y$ .
$y = \frac{324}{3} =108$ So, the solution to the equation is $y =108$ .