(k-2)y=6-k(x+1)a

Solution for (k-2)y=6-k(x+1)a equation:

Simplifying
(k + -2) * y = 6 + -1k(x + 1) * a

Reorder the terms:
(-2 + k) * y = 6 + -1k(x + 1) * a

Reorder the terms for easier multiplication:
y(-2 + k) = 6 + -1k(x + 1) * a
(-2 * y + k * y) = 6 + -1k(x + 1) * a

Reorder the terms:
(ky + -2y) = 6 + -1k(x + 1) * a
(ky + -2y) = 6 + -1k(x + 1) * a

Reorder the terms:
ky + -2y = 6 + -1k(1 + x) * a

Reorder the terms for easier multiplication:
ky + -2y = 6 + -1k * a(1 + x)

Multiply k * a
ky + -2y = 6 + -1ak(1 + x)
ky + -2y = 6 + (1 * -1ak + x * -1ak)
ky + -2y = 6 + (-1ak + -1akx)

Solving
ky + -2y = 6 + -1ak + -1akx

Solving for variable 'k'.

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

Add 'ak' to each side of the equation.
ky + ak + -2y = 6 + -1ak + ak + -1akx

Reorder the terms:
ak + ky + -2y = 6 + -1ak + ak + -1akx

Combine like terms: -1ak + ak = 0
ak + ky + -2y = 6 + 0 + -1akx
ak + ky + -2y = 6 + -1akx

Add 'akx' to each side of the equation.
ak + ky + akx + -2y = 6 + -1akx + akx

Reorder the terms:
ak + akx + ky + -2y = 6 + -1akx + akx

Combine like terms: -1akx + akx = 0
ak + akx + ky + -2y = 6 + 0
ak + akx + ky + -2y = 6

Add '2y' to each side of the equation.
ak + akx + ky + -2y + 2y = 6 + 2y

Combine like terms: -2y + 2y = 0
ak + akx + ky + 0 = 6 + 2y
ak + akx + ky = 6 + 2y

Reorder the terms:
-6 + ak + akx + ky + -2y = 6 + 2y + -6 + -2y

Reorder the terms:
-6 + ak + akx + ky + -2y = 6 + -6 + 2y + -2y

Combine like terms: 6 + -6 = 0
-6 + ak + akx + ky + -2y = 0 + 2y + -2y
-6 + ak + akx + ky + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + ak + akx + ky + -2y = 0

The solution to this equation could not be determined.