(y-2)=-3(x+4)

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


Simplifying
(y + -2) = -3(x + 4)

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

Remove parenthesis around (-2 + y)
-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 = -10
y = -10 + -3x

Simplifying
y = -10 + -3x

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