Y-(-6)=(-.75)(x-4)

Solution for Y-(-6)=(-.75)(x-4) equation:

Simplifying
Y + -1(-6) = (-0.75)(x + -4)

Multiply -1 * -6
Y + 6 = (-0.75)(x + -4)

Reorder the terms:
6 + Y = (-0.75)(x + -4)

Reorder the terms:
6 + Y = -0.75(-4 + x)
6 + Y = (-4 * -0.75 + x * -0.75)
6 + Y = (3 + -0.75x)

Solving
6 + Y = 3 + -0.75x

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 = 3 + -6 + -0.75x

Combine like terms: 6 + -6 = 0
0 + Y = 3 + -6 + -0.75x
Y = 3 + -6 + -0.75x

Combine like terms: 3 + -6 = -3
Y = -3 + -0.75x

Simplifying
Y = -3 + -0.75x