y-6=(x-5)

Solution for y-6=(x-5) equation:

Simplifying
y + -6 = (x + -5)

Reorder the terms:
-6 + y = (x + -5)

Reorder the terms:
-6 + y = (-5 + x)

Remove parenthesis around (-5 + x)
-6 + y = -5 + x

Solving
-6 + y = -5 + x

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + y = -5 + 6 + x

Combine like terms: -6 + 6 = 0
0 + y = -5 + 6 + x
y = -5 + 6 + x

Combine like terms: -5 + 6 = 1
y = 1 + x

Simplifying
y = 1 + x