QuestionSolve for $y$ in the equation: $3y + 15 - 7 = 14$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $3y +15 -7 =14$ . . We need to solve for $y$ .

STEP 2

First, we combine like terms on the left-hand side of the equation.
$y +15 -7 =y +8$

STEP 3

Now, we rewrite the equation with the combined terms.
$3y +8 =14$

STEP 4

Next, we subtract8 from both sides of the equation to isolate $3y$ on the left-hand side.
$3y +8 -8 =14 -8$

STEP 5

Perform the subtraction on both sides of the equation.
$3y =$

STEP 6

Finally, we divide both sides of the equation by3 to solve for $y$ .
$y = \frac{3y}{3} = \frac{6}{3}$

STEP 7

Perform the division on the right-hand side of the equation.
$y =2$ So, the solution to the equation is $y =2$ .

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QuestionSolve for $y$ in the equation: $3y + 15 - 7 = 14$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $3y +15 -7 =14$ . . We need to solve for $y$ .

STEP 2

First, we combine like terms on the left-hand side of the equation.
$y +15 -7 =y +8$

STEP 3

Now, we rewrite the equation with the combined terms.
$3y +8 =14$

STEP 4

Next, we subtract8 from both sides of the equation to isolate $3y$ on the left-hand side.
$3y +8 -8 =14 -8$

STEP 5

Perform the subtraction on both sides of the equation.
$3y =$

STEP 6

Finally, we divide both sides of the equation by3 to solve for $y$ .
$y = \frac{3y}{3} = \frac{6}{3}$

STEP 7

Perform the division on the right-hand side of the equation.
$y =2$ So, the solution to the equation is $y =2$ .

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QuestionSolve for yyy in the equation: 3y+15−7=143y + 15 - 7 = 143y+15−7=14.

Studdy Solution

STEP 1

Assumptions1. The given equation is 3y+15−7=143y +15 -7 =143y+15−7=14. . We need to solve for yyy.

STEP 2

First, we combine like terms on the left-hand side of the equation.y+15−7=y+8y +15 -7 =y +8y+15−7=y+8

STEP 3

Now, we rewrite the equation with the combined terms.3y+8=143y +8 =143y+8=14

STEP 4

Next, we subtract8 from both sides of the equation to isolate 3y3y3y on the left-hand side.3y+8−8=14−83y +8 -8 =14 -83y+8−8=14−8

STEP 5

Perform the subtraction on both sides of the equation.3y=3y =3y=

STEP 6

Finally, we divide both sides of the equation by3 to solve for yyy.y=3y3=63y = \frac{3y}{3} = \frac{6}{3}y=33y​=36​

STEP 7

Perform the division on the right-hand side of the equation.y=2y =2y=2So, the solution to the equation is y=2y =2y=2.

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QuestionSolve for $y$ in the equation: $3y + 15 - 7 = 14$ .

Assumptions1. The given equation is $3y +15 -7 =14$ . . We need to solve for $y$ .

First, we combine like terms on the left-hand side of the equation.
$y +15 -7 =y +8$

Now, we rewrite the equation with the combined terms.
$3y +8 =14$

Next, we subtract8 from both sides of the equation to isolate $3y$ on the left-hand side.
$3y +8 -8 =14 -8$

Perform the subtraction on both sides of the equation.
$3y =$

Finally, we divide both sides of the equation by3 to solve for $y$ .
$y = \frac{3y}{3} = \frac{6}{3}$

Perform the division on the right-hand side of the equation.
$y =2$ So, the solution to the equation is $y =2$ .