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Least common denominator y+8/y-4+4/y-2-y/y-4

An expression to simplify:

The solution

You have entered [src]
    8       4       y    
y + - - 4 + - - 2 - - - 4
    y       y       y    
$$\left(\left(\left(\left(\left(y + \frac{8}{y}\right) - 4\right) + \frac{4}{y}\right) - 2\right) - \frac{y}{y}\right) - 4$$
y + 8/y - 4 + 4/y - 2 - y/y - 4
General simplification [src]
          12
-11 + y + --
          y 
$$y - 11 + \frac{12}{y}$$
-11 + y + 12/y
Fraction decomposition [src]
-11 + y + 12/y
$$y - 11 + \frac{12}{y}$$
          12
-11 + y + --
          y 
Rational denominator [src]
      2       
12 + y  - 11*y
--------------
      y       
$$\frac{y^{2} - 11 y + 12}{y}$$
(12 + y^2 - 11*y)/y
Assemble expression [src]
          12
-11 + y + --
          y 
$$y - 11 + \frac{12}{y}$$
-11 + y + 12/y
Combining rational expressions [src]
      2       
12 + y  - 11*y
--------------
      y       
$$\frac{y^{2} - 11 y + 12}{y}$$
(12 + y^2 - 11*y)/y
Common denominator [src]
          12
-11 + y + --
          y 
$$y - 11 + \frac{12}{y}$$
-11 + y + 12/y
Combinatorics [src]
      2       
12 + y  - 11*y
--------------
      y       
$$\frac{y^{2} - 11 y + 12}{y}$$
(12 + y^2 - 11*y)/y
Trigonometric part [src]
          12
-11 + y + --
          y 
$$y - 11 + \frac{12}{y}$$
-11 + y + 12/y
Numerical answer [src]
-11.0 + y + 12.0/y
-11.0 + y + 12.0/y
Powers [src]
          12
-11 + y + --
          y 
$$y - 11 + \frac{12}{y}$$
-11 + y + 12/y