http://courses.webwork.maa.org:8080/wwtmp/equations/46/9e6751920cc7d8e91be2bbb88c686b1.png
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7/y - 7/(y - 8) - 8 = 0
Multiply through by y(y - 8)
7(y - 8) - 7y - 8y(y - 8) =0
7y - 56 -7y -8y^2 + 64 = 0
- 8y^2 + 8 = 0
-8(y^2 -1) = 0
-8(y + 1)(y - 1) = 0
y = -1 or + 1
Multiply through by y(y - 8)
7(y - 8) - 7y - 8y(y - 8) =0
7y - 56 -7y -8y^2 + 64 = 0
- 8y^2 + 8 = 0
-8(y^2 -1) = 0
-8(y + 1)(y - 1) = 0
y = -1 or + 1