[interminable]

Consider the dissolution of the compound X2Y3, which gives X₂Y₂²⁺, X₂Y⁴⁺, X₂Y₃(aq), and Y^2-. Use the mass balance to find an expression for [Y^2-] in terms of the other concentrations. Simplify your answer as much as possible.

This is just a problem I'm doing for practice, so I have the answer, but I don't follow it.

Y total = (3/2)(X total)
I understand this. But the next step I do not follow:

2[X₂Y₂²⁺] + [X₂Y⁴⁺] + 3[X₂Y₃] + [Y^2-] = 3/2{2[X₂Y₂²⁺] + 2[X₂Y⁴⁺] + 2[X₂Y₃]}

Where did all the coefficients of 2 and 3 come from??

Final Answer
[Y2-] = [X₂Y₂²⁺] + 2[X₂Y⁴⁺]

[Borek]

Where did all the coefficients of 2 and 3 come from??

How many moles of X in a mole of X₂Y₂²⁺?