a(y+c)=b(y-c)

Solution for a(y+c)=b(y-c) equation:

Simplifying
a(y + c) = b(y + -1c)

Reorder the terms:
a(c + y) = b(y + -1c)
(c * a + y * a) = b(y + -1c)
(ac + ay) = b(y + -1c)

Reorder the terms:
ac + ay = b(-1c + y)
ac + ay = (-1c * b + y * b)
ac + ay = (-1bc + by)

Solving
ac + ay = -1bc + by

Solving for variable 'a'.

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

Reorder the terms:
ac + ay + bc + -1by = -1bc + bc + by + -1by

Combine like terms: -1bc + bc = 0
ac + ay + bc + -1by = 0 + by + -1by
ac + ay + bc + -1by = by + -1by

Combine like terms: by + -1by = 0
ac + ay + bc + -1by = 0

The solution to this equation could not be determined.