6-(2y-5)=-(-4y-2)-1

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Solution for 6-(2y-5)=-(-4y-2)-1 equation: 


Simplifying
6 + -1(2y + -5) = -1(-4y + -2) + -1

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

Combine like terms: 6 + 5 = 11
11 + -2y = -1(-4y + -2) + -1

Reorder the terms:
11 + -2y = -1(-2 + -4y) + -1
11 + -2y = (-2 * -1 + -4y * -1) + -1
11 + -2y = (2 + 4y) + -1

Reorder the terms:
11 + -2y = 2 + -1 + 4y

Combine like terms: 2 + -1 = 1
11 + -2y = 1 + 4y

Solving
11 + -2y = 1 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
11 + -2y + -4y = 1 + 4y + -4y

Combine like terms: -2y + -4y = -6y
11 + -6y = 1 + 4y + -4y

Combine like terms: 4y + -4y = 0
11 + -6y = 1 + 0
11 + -6y = 1

Add '-11' to each side of the equation.
11 + -11 + -6y = 1 + -11

Combine like terms: 11 + -11 = 0
0 + -6y = 1 + -11
-6y = 1 + -11

Combine like terms: 1 + -11 = -10
-6y = -10

Divide each side by '-6'.
y = 1.666666667

Simplifying
y = 1.666666667

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