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Algebra Level 3

We define xxxx...=3x^{x^{x^{x^{...}}}}=3

y=444...y=\sqrt{4{\sqrt{4{\sqrt{4{\sqrt{...}}}}}}}

z=5+5+5+...z=\sqrt{5+\sqrt{5+{\sqrt{5+\sqrt{...}}}}}

If x3+y+z=a+bcx^{3} +y+z=\frac{a+\sqrt{b}}{c} find a+b3c\frac{a+b}{3c}

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