yp+ya=t

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Solution for yp+ya=t equation: 


Simplifying
yp + ya = t

Reorder the terms:
ay + py = t

Solving
ay + py = t

Solving for variable 'a'.

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

Add '-1py' to each side of the equation.
ay + py + -1py = -1py + t

Combine like terms: py + -1py = 0
ay + 0 = -1py + t
ay = -1py + t

Divide each side by 'y'.
a = -1p + ty-1

Simplifying
a = -1p + ty-1

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