Y-(-4)=-3(x-(2))

Solution for Y-(-4)=-3(x-(2)) equation:

Simplifying
Y + -1(-4) = -3(x + -1(2))

Multiply -1 * -4
Y + 4 = -3(x + -1(2))

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

Multiply -1 * 2
4 + Y = -3(x + -2)

Reorder the terms:
4 + Y = -3(-2 + x)
4 + Y = (-2 * -3 + x * -3)
4 + Y = (6 + -3x)

Solving
4 + Y = 6 + -3x

Solving for variable 'Y'.

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

Add '-4' to each side of the equation.
4 + -4 + Y = 6 + -4 + -3x

Combine like terms: 4 + -4 = 0
0 + Y = 6 + -4 + -3x
Y = 6 + -4 + -3x

Combine like terms: 6 + -4 = 2
Y = 2 + -3x

Simplifying
Y = 2 + -3x