(-4y-2(-3y-1)-4)=5y+1

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Solution for (-4y-2(-3y-1)-4)=5y+1 equation: 


Simplifying
(-4y + -2(-3y + -1) + -4) = 5y + 1

Reorder the terms:
(-4y + -2(-1 + -3y) + -4) = 5y + 1
(-4y + (-1 * -2 + -3y * -2) + -4) = 5y + 1
(-4y + (2 + 6y) + -4) = 5y + 1

Reorder the terms:
(2 + -4 + -4y + 6y) = 5y + 1

Combine like terms: 2 + -4 = -2
(-2 + -4y + 6y) = 5y + 1

Combine like terms: -4y + 6y = 2y
(-2 + 2y) = 5y + 1

Remove parenthesis around (-2 + 2y)
-2 + 2y = 5y + 1

Reorder the terms:
-2 + 2y = 1 + 5y

Solving
-2 + 2y = 1 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-2 + 2y + -5y = 1 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-2 + -3y = 1 + 5y + -5y

Combine like terms: 5y + -5y = 0
-2 + -3y = 1 + 0
-2 + -3y = 1

Add '2' to each side of the equation.
-2 + 2 + -3y = 1 + 2

Combine like terms: -2 + 2 = 0
0 + -3y = 1 + 2
-3y = 1 + 2

Combine like terms: 1 + 2 = 3
-3y = 3

Divide each side by '-3'.
y = -1

Simplifying
y = -1

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