y+2=-4(x+3)

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


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

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

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

Solving
2 + y = -12 + -4x

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 + -4x

Combine like terms: 2 + -2 = 0
0 + y = -12 + -2 + -4x
y = -12 + -2 + -4x

Combine like terms: -12 + -2 = -14
y = -14 + -4x

Simplifying
y = -14 + -4x

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