ANSWER
[tex]12y \sqrt{3} [/tex]
EXPLANATION
The given expression is
[tex]\sqrt{3y^2} + 4\sqrt{12y^2} - y\sqrt{75}[/tex]
We identity and remove the perfect squares to obtain
[tex]y\sqrt{3} + 16y\sqrt{3} - 5y\sqrt{3}[/tex]
We now observe that, the three terms are all similar.
We combine the similar terms to get:
[tex]y\sqrt{3} + 16y\sqrt{3} - 5y\sqrt{3} = 12y \sqrt{3} [/tex]
