QuestionSolve for $y$ : $6(y+4) - 5(y+5) = -6$ $y =$

Studdy Solution

STEP 1

Assumptions1. We are given the equation $6(y+4)-5(y+5)=-6$ . We are solving for the variable $y$

STEP 2

First, we need to distribute the numbers outside the parentheses to the terms inside the parentheses.
$6(y+4)-5(y+5) =6y +24 -5y -25$

STEP 3

Next, we combine like terms on the left side of the equation.
$6y +24 -5y -25 = y -1$

STEP 4

Now, we need to isolate $y$ on one side of the equation. We can do this by adding $1$ to both sides of the equation.
$y -1 +1 = -6 +1$

STEP 5

implify the equation.
$y = - +1 = -5$ So, the solution to the equation is $y = -5$ .

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QuestionSolve for $y$ : $6(y+4) - 5(y+5) = -6$ $y =$

Studdy Solution

STEP 1

Assumptions1. We are given the equation $6(y+4)-5(y+5)=-6$ . We are solving for the variable $y$

STEP 2

First, we need to distribute the numbers outside the parentheses to the terms inside the parentheses.
$6(y+4)-5(y+5) =6y +24 -5y -25$

STEP 3

Next, we combine like terms on the left side of the equation.
$6y +24 -5y -25 = y -1$

STEP 4

Now, we need to isolate $y$ on one side of the equation. We can do this by adding $1$ to both sides of the equation.
$y -1 +1 = -6 +1$

STEP 5

implify the equation.
$y = - +1 = -5$ So, the solution to the equation is $y = -5$ .

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QuestionSolve for yyy: 6(y+4)−5(y+5)=−66(y+4) - 5(y+5) = -66(y+4)−5(y+5)=−6 y= y = y=

Studdy Solution

STEP 1

Assumptions1. We are given the equation 6(y+4)−5(y+5)=−66(y+4)-5(y+5)=-66(y+4)−5(y+5)=−6 . We are solving for the variable yyy

STEP 2

First, we need to distribute the numbers outside the parentheses to the terms inside the parentheses.6(y+4)−5(y+5)=6y+24−5y−256(y+4)-5(y+5) =6y +24 -5y -256(y+4)−5(y+5)=6y+24−5y−25

STEP 3

Next, we combine like terms on the left side of the equation.6y+24−5y−25=y−16y +24 -5y -25 = y -16y+24−5y−25=y−1

STEP 4

Now, we need to isolate yyy on one side of the equation. We can do this by adding 111 to both sides of the equation.y−1+1=−6+1y -1 +1 = -6 +1y−1+1=−6+1

STEP 5

implify the equation.y=−+1=−5y = - +1 = -5y=−+1=−5So, the solution to the equation is y=−5y = -5y=−5.

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Studdy solves anything!

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QuestionSolve for $y$ : $6(y+4) - 5(y+5) = -6$ $y =$

Assumptions1. We are given the equation $6(y+4)-5(y+5)=-6$ . We are solving for the variable $y$

First, we need to distribute the numbers outside the parentheses to the terms inside the parentheses.
$6(y+4)-5(y+5) =6y +24 -5y -25$

Next, we combine like terms on the left side of the equation.
$6y +24 -5y -25 = y -1$

Now, we need to isolate $y$ on one side of the equation. We can do this by adding $1$ to both sides of the equation.
$y -1 +1 = -6 +1$

implify the equation.
$y = - +1 = -5$ So, the solution to the equation is $y = -5$ .