y-3=3(x-1)

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

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

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

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

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

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

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

Solving
y = 3x

Solving for variable 'y'.

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

Simplifying
y = 3x