The answer is [tex]y=-6[/tex]
Step-by-step explanation:
The given equation is [tex]4y=2(y-5)-2[/tex]
Multiplying [tex]y-5[/tex] by 2, we get,
[tex]4y=2y-10-2[/tex]
Subtracting [tex]2y[/tex] from both sides of the equation, we get,
[tex]2y=-12[/tex]
Dividing both sides of the equation by 2, we get,
[tex]y=-6[/tex]
Thus, the value of y is [tex]y=-6[/tex]