f(y)=-5y+9f(y+p)

Solution for f(y)=-5y+9f(y+p) equation:

Simplifying
f(y) = -5y + 9f(y + p)

Multiply f * y
fy = -5y + 9f(y + p)

Reorder the terms:
fy = -5y + 9f(p + y)
fy = -5y + (p * 9f + y * 9f)
fy = -5y + (9fp + 9fy)

Reorder the terms:
fy = 9fp + 9fy + -5y

Solving
fy = 9fp + 9fy + -5y

Solving for variable 'f'.

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

Add '-9fp' to each side of the equation.
-9fp + fy = 9fp + 9fy + -9fp + -5y

Reorder the terms:
-9fp + fy = 9fp + -9fp + 9fy + -5y

Combine like terms: 9fp + -9fp = 0
-9fp + fy = 0 + 9fy + -5y
-9fp + fy = 9fy + -5y

Add '-9fy' to each side of the equation.
-9fp + fy + -9fy = 9fy + -9fy + -5y

Combine like terms: fy + -9fy = -8fy
-9fp + -8fy = 9fy + -9fy + -5y

Combine like terms: 9fy + -9fy = 0
-9fp + -8fy = 0 + -5y
-9fp + -8fy = -5y

Combine like terms: -5y + 5y = 0
-9fp + -8fy + 5y = 0

The solution to this equation could not be determined.