y-3=6(x-1)

Solution for y-3=6(x-1) equation:

Simplifying
y + -3 = 6(x + -1)

Reorder the terms:
-3 + y = 6(x + -1)

Reorder the terms:
-3 + y = 6(-1 + x)
-3 + y = (-1 * 6 + x * 6)
-3 + y = (-6 + 6x)

Solving
-3 + y = -6 + 6x

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + y = -6 + 3 + 6x

Combine like terms: -3 + 3 = 0
0 + y = -6 + 3 + 6x
y = -6 + 3 + 6x

Combine like terms: -6 + 3 = -3
y = -3 + 6x

Simplifying
y = -3 + 6x