Solve x-1/x^2+2y-x-1/x^2-2y=x/x^2-4

$$\frac { x - 1 } { x ^ { 2 } + 2 y } - \frac { x - 1 } { x ^ { 2 } - 2 y } = \frac { x } { x ^ { 2 } - 4 }$$

Solve for y

$$y=\frac{\sqrt{2x^{6}-2x^{5}-7x^{4}+16x^{3}+8x^{2}-32x+16}+x^{3}-x^{2}-4x+4}{2x}$$

$$y=\frac{-\sqrt{2x^{6}-2x^{5}-7x^{4}+16x^{3}+8x^{2}-32x+16}+x^{3}-x^{2}-4x+4}{2x}\text{, }x\neq 1\text{ and }x\neq 0\text{ and }x\left(2x^{5}-2\left(x^{2}-4\right)^{2}-7x^{3}+8x\right)\geq -16\text{ and }2x^{6}-2x^{5}-7x^{4}+16x^{3}+8x^{2}-32x+16\geq 0\text{ and }|x|\neq 2$$