inorganic chemistry - Hydrate decomposition equation steps

When a hydrate decomposes it loses water molecules in steps. Does each step have a chemical equation?

If so is the following equations for decomposition of cupric sulfate hydrate correct? $$ \begin{align} \ce{CuSO4 * 5 H2O &→ CuSO4 * 4 H2O + H2O}\\ \ce{CuSO4 * 4 H2O &→ CuSO4 * 3 H2O + H2O}\\ \ce{CuSO4 * 3 H2O &→ CuSO4 * 2 H2O + H2O}\\ \ce{CuSO4 * 2 H2O &→ CuSO4 * H2O + H2O}\\ \ce{CuSO4 * H2O &→ CuSO4 + H2O} \end{align} $$