different locations of y-axes and ylabels in subplots

I have 4 subplots and I would like to have:

1. all the 4 ylabel texts (here called as "first", "second", "third" and "fourth") perfectly aligned on the left of the figure
2. the Y-Axis (i.e. the vertical line, plus yticks and the corresponding numbers/values) of the first and third subplots on the right side of the figure

Is it possible?

Here you are an attempt (does not fullfill conditions 1 and 2):

subplot(4,1,1);
x = linspace(0,10);
y1 = sin(x);
plot(x,y1)
ylabel('first')
hAxis = gca;
hAxis.YAxisLocation = 'right'; 

subplot(4,1,2); 
y2 = sin(5*x);
plot(x,y2)
ylabel('second')

subplot(4,1,3);
x = linspace(0,10);
y1 = cos(x);
plot(x,y1)
ylabel('third')
hAxis = gca;
hAxis.YAxisLocation = 'right'; 

subplot(4,1,4); 
y2 = sin(2*x);
plot(x,y2)
ylabel('fourth')

which results in:

My desired output is here represented:

Answer 1

[Midhulesh Vellanki]

You can do something like the code below. please note that Ylabel is a child of YAxis that's why the label move along with the axis.

You can play with Positon proptery of label to further customize the behaviour.

subplot(4,1,1);
x = linspace(0,10);
y1 = sin(x);
plot(x,y1)
la1=ylabel('first');
old_values1 = la1.Position;
hAxis = gca;
hAxis.YAxisLocation = 'right'; 
la1.Position = [x(1)-0.7    old_values1(2)   old_values1(3)];
box off;

subplot(4,1,2); 
y2 = sin(5*x);
plot(x,y2)
la2=ylabel('second');

subplot(4,1,3);
x = linspace(0,10);
y1 = cos(x);
plot(x,y1)
la3=ylabel('third');
old_values3 = la3.Position;
hAxis = gca;
hAxis.YAxisLocation = 'right'; 
la3.Position = [x(1)-0.7    old_values3(2)   old_values3(3)];
box off;


subplot(4,1,4); 
y2 = sin(2*x);
plot(x,y2)
ylabel('fourth')

[Sim]

Thanks a lot @Midhulesh Vellanki !! Very very kind! :-)