Perform the indicated operation express your answer in simple form. Show the step-by-step process in answering.

[tex]\tt 1.) \: \frac{2p}{2p + 3} + \frac{3}{2p + 3} [/tex]
[tex]\tt2.)\: \frac{5x - 3}{4x - 4} - \frac{2x}{4x - 4} [/tex]
[tex]\tt \: 3.) \frac{ {2y}^{2} }{ {y}^{2} + 3y} - \frac{ {y}^{2} + 9}{ {y}^{2} + 3y} [/tex]
[tex]\tt4.) \frac{ {a}^{2} + 1 }{ {a}^{2} - 16 } + \frac{5a + 3}{ {a}^{2} - 16} [/tex]
[tex]\tt5.) \frac{10m}{7n} - \frac{2m}{7n} + \frac{6m}{7n} [/tex]
nonsense report ^_^​