No Mathematical Operators Can Phase Me!

Algebra Level 1

\[\large{ \begin{eqnarray} y \color{blue} + y &=& y \\ y \color{red} - y &=& y \\ y \color{green} \times y &=& y \\ y \color{purple} \div y &=& y \end{eqnarray}} \]

What number(s) satisfy all the four equations above?

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