How can y be solved for given x and all A coefficients in the transfer function?

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woo78f
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If I have the following transfer function:

x = A1 + A2*y + A3*sin(A4*y + A5) + A6*sin(A7*y + A8) +A9*sin(A10*y + A11) +A12*sin(A13*y + A14)

I know x and all the A coefficients, how would one solve for y?
 
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Either graphically or by iteration.