1

Problem

Solve for y in the equation \$ y + 2x + 11 = - y/3 + 2x \$.

2

Step

The given equation

\$ y + 2x + 11 = - y/3 + 2x \$

3

Step

Move all terms involving y to one side of the equation:

\$ y + y/3 = 2x - 2x - 11\$

4

Step

Combine like terms:

\$ (3y + y)/3 = - 11\$

\$ (4y)/3 = - 11\$

5

Step

Multiply both sides by \$3/4\$ to isolate y:

\$ (4y)/3 times 3/4 = - 11 times 3/4 \$

\$ y = - 33/4 \$

6

Solution

So, the solution for y is \$ y = - 33/4 \$.

7

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

8

Choice-A

Incorrect, if you substitute \$ y = 44/3\$ into the original equation, it won’t satisfy the equation

Wrong \$ y = 44/3 \$

9

Choice-B

Incorrect, if you substitute \$ y = - 22/3 \$ into the original equation, it won’t satisfy the equation

Wrong \$ y = - 22/3 \$

10

Choice-C

Correct, if you substitute \$ y = - 33/4 \$ into the original equation, it will satisfy the equation

Correct \$ y = - 33/4 \$

11

Choice-D

Incorrect, if you substitute \$ y = - 44/3 \$ into the original equation, it won’t satisfy the equation

Wrong \$ y = - 44/3 \$

12

Step

Option

C

13

Sumup

Please Summarize Choices