Y-3=-1(x-6)

Solution for Y-3=-1(x-6) equation:

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

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

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

Solving
-3 + Y = 6 + -1x

Solving for variable 'Y'.

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

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

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

Combine like terms: 6 + 3 = 9
Y = 9 + -1x

Simplifying
Y = 9 + -1x