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