(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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