y+2=-3(x-6)

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Solution for y+2=-3(x-6) equation: 


Simplifying
y + 2 = -3(x + -6)

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

Reorder the terms:
2 + y = -3(-6 + x)
2 + y = (-6 * -3 + x * -3)
2 + y = (18 + -3x)

Solving
2 + y = 18 + -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 = 18 + -2 + -3x

Combine like terms: 2 + -2 = 0
0 + y = 18 + -2 + -3x
y = 18 + -2 + -3x

Combine like terms: 18 + -2 = 16
y = 16 + -3x

Simplifying
y = 16 + -3x

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