Respuesta :

anaalvarado8
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 :

[tex]3y-4=y+10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

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

The solution of equation (i) is as follows :

[tex]3y-4=y+10\\\\\Rightarrow 3y-y=10+4\\\\\Rightarrow 2y=14\\\\\Rightarrow y=\dfrac{14}{2}\\\\\Rightarrow y=7.[/tex]

Thus, the required solution is y = 7.

Option (d) is CORRECT.