-4y-1(2y-1)=-8-6(1-y)

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Solution for -4y-1(2y-1)=-8-6(1-y) equation: 


Simplifying
-4y + -1(2y + -1) = -8 + -6(1 + -1y)

Reorder the terms:
-4y + -1(-1 + 2y) = -8 + -6(1 + -1y)
-4y + (-1 * -1 + 2y * -1) = -8 + -6(1 + -1y)
-4y + (1 + -2y) = -8 + -6(1 + -1y)

Reorder the terms:
1 + -4y + -2y = -8 + -6(1 + -1y)

Combine like terms: -4y + -2y = -6y
1 + -6y = -8 + -6(1 + -1y)
1 + -6y = -8 + (1 * -6 + -1y * -6)
1 + -6y = -8 + (-6 + 6y)

Combine like terms: -8 + -6 = -14
1 + -6y = -14 + 6y

Solving
1 + -6y = -14 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
1 + -6y + -6y = -14 + 6y + -6y

Combine like terms: -6y + -6y = -12y
1 + -12y = -14 + 6y + -6y

Combine like terms: 6y + -6y = 0
1 + -12y = -14 + 0
1 + -12y = -14

Add '-1' to each side of the equation.
1 + -1 + -12y = -14 + -1

Combine like terms: 1 + -1 = 0
0 + -12y = -14 + -1
-12y = -14 + -1

Combine like terms: -14 + -1 = -15
-12y = -15

Divide each side by '-12'.
y = 1.25

Simplifying
y = 1.25

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