-16(Y+1)=8(6Y-2)-384

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Solution for -16(Y+1)=8(6Y-2)-384 equation: 


Simplifying
-16(Y + 1) = 8(6Y + -2) + -384

Reorder the terms:
-16(1 + Y) = 8(6Y + -2) + -384
(1 * -16 + Y * -16) = 8(6Y + -2) + -384
(-16 + -16Y) = 8(6Y + -2) + -384

Reorder the terms:
-16 + -16Y = 8(-2 + 6Y) + -384
-16 + -16Y = (-2 * 8 + 6Y * 8) + -384
-16 + -16Y = (-16 + 48Y) + -384

Reorder the terms:
-16 + -16Y = -16 + -384 + 48Y

Combine like terms: -16 + -384 = -400
-16 + -16Y = -400 + 48Y

Solving
-16 + -16Y = -400 + 48Y

Solving for variable 'Y'.

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

Add '-48Y' to each side of the equation.
-16 + -16Y + -48Y = -400 + 48Y + -48Y

Combine like terms: -16Y + -48Y = -64Y
-16 + -64Y = -400 + 48Y + -48Y

Combine like terms: 48Y + -48Y = 0
-16 + -64Y = -400 + 0
-16 + -64Y = -400

Add '16' to each side of the equation.
-16 + 16 + -64Y = -400 + 16

Combine like terms: -16 + 16 = 0
0 + -64Y = -400 + 16
-64Y = -400 + 16

Combine like terms: -400 + 16 = -384
-64Y = -384

Divide each side by '-64'.
Y = 6

Simplifying
Y = 6

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