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 = -10
Y = -10 + -4x

Simplifying
Y = -10 + -4x

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