y-6=5(x-1)

Solution for y-6=5(x-1) equation:

Simplifying
y + -6 = 5(x + -1)

Reorder the terms:
-6 + y = 5(x + -1)

Reorder the terms:
-6 + y = 5(-1 + x)
-6 + y = (-1 * 5 + x * 5)
-6 + y = (-5 + 5x)

Solving
-6 + y = -5 + 5x

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 + 5x

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

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

Simplifying
y = 1 + 5x