Respuesta :

The simplification of each sum or difference of given expression [tex]\frac{-5y}{2y-1} -\frac{y+3}{2y-1}[/tex]  is equal to (-3)(2y+1)/ (2y-1). Restriction on the variables is given by y ≠1/2.

As given in the question,

Given expression is [tex]\frac{-5y}{2y-1} -\frac{y+3}{2y-1}[/tex]

Simplify the expression by taking the least common multiple

[tex]\frac{-5y}{2y-1} -\frac{y+3}{2y-1}\\\\= \frac{-5y-y-3}{2y-1}\\ \\= \frac{-6y-3}{2y-1}\\ \\= \frac{-3(2y+1)}{2y-1}[/tex]

Restriction on the variables is given by  y ≠1/2.

Therefore, the simplification of each sum or difference of given expression [tex]\frac{-5y}{2y-1} -\frac{y+3}{2y-1}[/tex]  is equal to (-3)(2y+1)/ (2y-1). Restriction on the variables is given by y ≠1/2.

Learn more about variables here

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