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Answer :

If we have that

[tex]\frac{4}{y}=y[/tex]

This is equivalent to:

[tex]4=y^{2}[/tex]

If we solve for y, we get a square root. A square root has a positive and a negative result, so:

[tex]y=\pm\sqrt[]{4}=\pm2[/tex]

y = 2 and y = -2