(y-6)=1.25(x-4)

Solution for (y-6)=1.25(x-4) equation:

Simplifying
(y + -6) = 1.25(x + -4)

Reorder the terms:
(-6 + y) = 1.25(x + -4)

Remove parenthesis around (-6 + y)
-6 + y = 1.25(x + -4)

Reorder the terms:
-6 + y = 1.25(-4 + x)
-6 + y = (-4 * 1.25 + x * 1.25)
-6 + y = (-5 + 1.25x)

Solving
-6 + y = -5 + 1.25x

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 + 1.25x

Combine like terms: -6 + 6 = 0
0 + y = -5 + 6 + 1.25x
y = -5 + 6 + 1.25x

Combine like terms: -5 + 6 = 1
y = 1 + 1.25x

Simplifying
y = 1 + 1.25x