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

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


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

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

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

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

Reorder the terms:
2 + Y = -3(4 + x)
2 + Y = (4 * -3 + x * -3)
2 + Y = (-12 + -3x)

Solving
2 + Y = -12 + -3x

Solving for variable 'Y'.

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

Add '-2' to each side of the equation.
2 + -2 + Y = -12 + -2 + -3x

Combine like terms: 2 + -2 = 0
0 + Y = -12 + -2 + -3x
Y = -12 + -2 + -3x

Combine like terms: -12 + -2 = -14
Y = -14 + -3x

Simplifying
Y = -14 + -3x

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