(y-5)=-3(x+2)

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Solution for (y-5)=-3(x+2) equation:


Simplifying
(y + -5) = -3(x + 2)

Reorder the terms:
(-5 + y) = -3(x + 2)

Remove parenthesis around (-5 + y)
-5 + y = -3(x + 2)

Reorder the terms:
-5 + y = -3(2 + x)
-5 + y = (2 * -3 + x * -3)
-5 + y = (-6 + -3x)

Solving
-5 + y = -6 + -3x

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + y = -6 + 5 + -3x

Combine like terms: -5 + 5 = 0
0 + y = -6 + 5 + -3x
y = -6 + 5 + -3x

Combine like terms: -6 + 5 = -1
y = -1 + -3x

Simplifying
y = -1 + -3x

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