p(y)+q=r(x)-s(y)+t

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Solution for p(y)+q=r(x)-s(y)+t equation: 


Simplifying
p(y) + q = r(x) + -1s(y) + t

Multiply p * y
py + q = r(x) + -1s(y) + t

Multiply r * x
py + q = rx + -1s(y) + t

Multiply s * y
py + q = rx + -1sy + t

Solving
py + q = rx + -1sy + t

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-1q' to each side of the equation.
py + q + -1q = rx + -1sy + -1q + t

Combine like terms: q + -1q = 0
py + 0 = rx + -1sy + -1q + t
py = rx + -1sy + -1q + t

Reorder the terms:
py = -1q + rx + -1sy + t

Divide each side by 'y'.
p = -1qy-1 + rxy-1 + -1s + ty-1

Simplifying
p = -1qy-1 + rxy-1 + -1s + ty-1

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