QuestionSolve the equation $4(3y + 2) + 2y = 50$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $4(3 y+)+ y=50$ . We are solving for the variable $y$

STEP 2

First, we need to distribute the $4$ in the expression $4( y+2)$ .
$4( y+2) =4y +42$

STEP 3

Calculate the distributed values.
$(3 y+2) =12y +8$

STEP 4

Now, replace the distributed expression in the original equation.
$12y +8 +2y =50$

STEP 5

Combine like terms on the left side of the equation.
$14y +8 =50$

STEP 6

Next, subtract $8$ from both sides of the equation to isolate the term with $y$ on one side.
$14y =50 -8$

STEP 7

Calculate the right side of the equation.
$14y =42$

STEP 8

Finally, divide both sides of the equation by $14$ to solve for $y$ .
$y =42 /14$

STEP 9

Calculate the value of $y$ .
$y =42 /14 =3$ So, the solution to the equation $4(3 y+2)+2 y=50$ is $y =3$ .

Was this helpful?

QuestionSolve the equation $4(3y + 2) + 2y = 50$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $4(3 y+)+ y=50$ . We are solving for the variable $y$

STEP 2

First, we need to distribute the $4$ in the expression $4( y+2)$ .
$4( y+2) =4y +42$

STEP 3

Calculate the distributed values.
$(3 y+2) =12y +8$

STEP 4

Now, replace the distributed expression in the original equation.
$12y +8 +2y =50$

STEP 5

Combine like terms on the left side of the equation.
$14y +8 =50$

STEP 6

Next, subtract $8$ from both sides of the equation to isolate the term with $y$ on one side.
$14y =50 -8$

STEP 7

Calculate the right side of the equation.
$14y =42$

STEP 8

Finally, divide both sides of the equation by $14$ to solve for $y$ .
$y =42 /14$

STEP 9

Calculate the value of $y$ .
$y =42 /14 =3$ So, the solution to the equation $4(3 y+2)+2 y=50$ is $y =3$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation 4(3y+2)+2y=504(3y + 2) + 2y = 504(3y+2)+2y=50.

Studdy Solution

STEP 1

Assumptions1. The equation is 4(3y+)+y=504(3 y+)+ y=504(3y+)+y=50 . We are solving for the variable yyy

STEP 2

First, we need to distribute the 444 in the expression 4(y+2)4( y+2)4(y+2).4(y+2)=4∗y+4∗24( y+2) =4*y +4*24(y+2)=4∗y+4∗2

STEP 3

Calculate the distributed values.(3y+2)=12y+8(3 y+2) =12y +8(3y+2)=12y+8

STEP 4

Now, replace the distributed expression in the original equation.12y+8+2y=5012y +8 +2y =5012y+8+2y=50

STEP 5

Combine like terms on the left side of the equation.14y+8=5014y +8 =5014y+8=50

STEP 6

Next, subtract 888 from both sides of the equation to isolate the term with yyy on one side.14y=50−814y =50 -814y=50−8

STEP 7

Calculate the right side of the equation.14y=4214y =4214y=42

STEP 8

Finally, divide both sides of the equation by 141414 to solve for yyy.y=42/14y =42 /14y=42/14

STEP 9

Calculate the value of yyy.y=42/14=3y =42 /14 =3y=42/14=3So, the solution to the equation 4(3y+2)+2y=504(3 y+2)+2 y=504(3y+2)+2y=50 is y=3y =3y=3.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation $4(3y + 2) + 2y = 50$ .

Assumptions1. The equation is $4(3 y+)+ y=50$ . We are solving for the variable $y$

First, we need to distribute the $4$ in the expression $4( y+2)$ .
$4( y+2) =4y +42$

Calculate the distributed values.
$(3 y+2) =12y +8$

Now, replace the distributed expression in the original equation.
$12y +8 +2y =50$

Combine like terms on the left side of the equation.
$14y +8 =50$

Next, subtract $8$ from both sides of the equation to isolate the term with $y$ on one side.
$14y =50 -8$

Calculate the right side of the equation.
$14y =42$

Finally, divide both sides of the equation by $14$ to solve for $y$ .
$y =42 /14$

Calculate the value of $y$ .
$y =42 /14 =3$ So, the solution to the equation $4(3 y+2)+2 y=50$ is $y =3$ .