see the attached figure to better understand the problem
we know that
if OP ll LN
then
by proportion
[tex]\frac{MO}{ML} =\frac{MP}{MN}[/tex]
we have that
[tex]MO=28\ units \\ML=28+14=42\ units\\MP=y\ units\\MN=(y+18)\ units[/tex]
substitute
[tex]\frac{28}{42} =\frac{y}{(y+18)}\\ \\28(y+18)=42y \\ \\42y-28y=28*18 \\ \\14y=504 \\ \\y=36\ units[/tex]
therefore
the answer is
The value of y is [tex]36\ units[/tex]
