Verified Answer :

  1. subtract y from both sides 3y-4=y+10
    .                                             -3      -3
    2.now you have  -4=-2y+10 subtract 10 to both sides 
                               -10      -10
    3. you have -14=-2y divide 
    4. y=7

Answer:  the correct option is

(d) 7.

Step-by-step explanation:  We are given to solve the following open sentence :

\(3y-4=y+10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)

To solve the given equation, we need to find the value of the unknown variable y.

The solution of equation (i) is as follows :

\(3y-4=y+10\\\\\Rightarrow 3y-y=10+4\\\\\Rightarrow 2y=14\\\\\Rightarrow y=\dfrac{14}{2}\\\\\Rightarrow y=7.\)

Thus, the required solution is y = 7.

Option (d) is CORRECT.