y-6=m(x-3)

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

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

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

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

Solving
-6 + y = -3m + mx

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 = -3m + 6 + mx

Combine like terms: -6 + 6 = 0
0 + y = -3m + 6 + mx
y = -3m + 6 + mx

Reorder the terms:
y = 6 + -3m + mx

Simplifying
y = 6 + -3m + mx