Y-6=m(x-(-3))

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

Simplifying
Y + -6 = m(x + -1(-3))

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

Multiply -1 * -3
-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