4(3y+2)-5(6y-1)=2(y-8)-6(7y-4)+4y

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Solution for 4(3y+2)-5(6y-1)=2(y-8)-6(7y-4)+4y equation: 


Simplifying
4(3y + 2) + -5(6y + -1) = 2(y + -8) + -6(7y + -4) + 4y

Reorder the terms:
4(2 + 3y) + -5(6y + -1) = 2(y + -8) + -6(7y + -4) + 4y
(2 * 4 + 3y * 4) + -5(6y + -1) = 2(y + -8) + -6(7y + -4) + 4y
(8 + 12y) + -5(6y + -1) = 2(y + -8) + -6(7y + -4) + 4y

Reorder the terms:
8 + 12y + -5(-1 + 6y) = 2(y + -8) + -6(7y + -4) + 4y
8 + 12y + (-1 * -5 + 6y * -5) = 2(y + -8) + -6(7y + -4) + 4y
8 + 12y + (5 + -30y) = 2(y + -8) + -6(7y + -4) + 4y

Reorder the terms:
8 + 5 + 12y + -30y = 2(y + -8) + -6(7y + -4) + 4y

Combine like terms: 8 + 5 = 13
13 + 12y + -30y = 2(y + -8) + -6(7y + -4) + 4y

Combine like terms: 12y + -30y = -18y
13 + -18y = 2(y + -8) + -6(7y + -4) + 4y

Reorder the terms:
13 + -18y = 2(-8 + y) + -6(7y + -4) + 4y
13 + -18y = (-8 * 2 + y * 2) + -6(7y + -4) + 4y
13 + -18y = (-16 + 2y) + -6(7y + -4) + 4y

Reorder the terms:
13 + -18y = -16 + 2y + -6(-4 + 7y) + 4y
13 + -18y = -16 + 2y + (-4 * -6 + 7y * -6) + 4y
13 + -18y = -16 + 2y + (24 + -42y) + 4y

Reorder the terms:
13 + -18y = -16 + 24 + 2y + -42y + 4y

Combine like terms: -16 + 24 = 8
13 + -18y = 8 + 2y + -42y + 4y

Combine like terms: 2y + -42y = -40y
13 + -18y = 8 + -40y + 4y

Combine like terms: -40y + 4y = -36y
13 + -18y = 8 + -36y

Solving
13 + -18y = 8 + -36y

Solving for variable 'y'.

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

Add '36y' to each side of the equation.
13 + -18y + 36y = 8 + -36y + 36y

Combine like terms: -18y + 36y = 18y
13 + 18y = 8 + -36y + 36y

Combine like terms: -36y + 36y = 0
13 + 18y = 8 + 0
13 + 18y = 8

Add '-13' to each side of the equation.
13 + -13 + 18y = 8 + -13

Combine like terms: 13 + -13 = 0
0 + 18y = 8 + -13
18y = 8 + -13

Combine like terms: 8 + -13 = -5
18y = -5

Divide each side by '18'.
y = -0.2777777778

Simplifying
y = -0.2777777778

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