y-1=3(x-2)

Solution for y-1=3(x-2) equation:

Simplifying
y + -1 = 3(x + -2)

Reorder the terms:
-1 + y = 3(x + -2)

Reorder the terms:
-1 + y = 3(-2 + x)
-1 + y = (-2 * 3 + x * 3)
-1 + y = (-6 + 3x)

Solving
-1 + y = -6 + 3x

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + y = -6 + 1 + 3x

Combine like terms: -1 + 1 = 0
0 + y = -6 + 1 + 3x
y = -6 + 1 + 3x

Combine like terms: -6 + 1 = -5
y = -5 + 3x

Simplifying
y = -5 + 3x