a[x]+B*[y]=c

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Solution for a[x]+B*[y]=c equation: 


Simplifying
a[x] + B[y] = c

Multiply a * x
ax + B[y] = c

Multiply B * y
ax + yB = c

Solving
ax + yB = c

Solving for variable 'a'.

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

Add '-1yB' to each side of the equation.
ax + yB + -1yB = c + -1yB

Combine like terms: yB + -1yB = 0
ax + 0 = c + -1yB
ax = c + -1yB

Divide each side by 'x'.
a = cx-1 + -1x-1yB

Simplifying
a = cx-1 + -1x-1yB

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