Subjects algebra

Substitution Practice 5D5634

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Question: but in the picture it uses this substitution but then replaces $u$ back with $y$. is this common practice or bad notation?
1. The problem asks whether substituting a variable $u$ and then replacing it back with $y$ is common practice or bad notation. 2. In mathematics, substitution is a technique used to simplify expressions or integrals by temporarily replacing a variable with another symbol. 3. After performing the necessary operations, it is standard and good practice to replace the substituted variable back with the original variable to express the final answer in terms of the original variable. 4. This ensures clarity and consistency, especially when the original problem is stated in terms of $y$. 5. Therefore, using substitution with $u$ and then replacing $u$ back with $y$ is common and accepted notation, not bad notation. 6. It helps in simplifying the problem temporarily and then presenting the final result in the original terms.