-2(y-4)-(3y-2)=-2(6y-2)

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Solution for -2(y-4)-(3y-2)=-2(6y-2) equation:


Simplifying
-2(y + -4) + -1(3y + -2) = -2(6y + -2)

Reorder the terms:
-2(-4 + y) + -1(3y + -2) = -2(6y + -2)
(-4 * -2 + y * -2) + -1(3y + -2) = -2(6y + -2)
(8 + -2y) + -1(3y + -2) = -2(6y + -2)

Reorder the terms:
8 + -2y + -1(-2 + 3y) = -2(6y + -2)
8 + -2y + (-2 * -1 + 3y * -1) = -2(6y + -2)
8 + -2y + (2 + -3y) = -2(6y + -2)

Reorder the terms:
8 + 2 + -2y + -3y = -2(6y + -2)

Combine like terms: 8 + 2 = 10
10 + -2y + -3y = -2(6y + -2)

Combine like terms: -2y + -3y = -5y
10 + -5y = -2(6y + -2)

Reorder the terms:
10 + -5y = -2(-2 + 6y)
10 + -5y = (-2 * -2 + 6y * -2)
10 + -5y = (4 + -12y)

Solving
10 + -5y = 4 + -12y

Solving for variable 'y'.

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

Add '12y' to each side of the equation.
10 + -5y + 12y = 4 + -12y + 12y

Combine like terms: -5y + 12y = 7y
10 + 7y = 4 + -12y + 12y

Combine like terms: -12y + 12y = 0
10 + 7y = 4 + 0
10 + 7y = 4

Add '-10' to each side of the equation.
10 + -10 + 7y = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 7y = 4 + -10
7y = 4 + -10

Combine like terms: 4 + -10 = -6
7y = -6

Divide each side by '7'.
y = -0.8571428571

Simplifying
y = -0.8571428571

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