20-[1+7y-4(y+4)]=-4(2y-3)-[6(y-1)-8y+7]

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Solution for 20-[1+7y-4(y+4)]=-4(2y-3)-[6(y-1)-8y+7] equation: 


Simplifying
20 + -1[1 + 7y + -4(y + 4)] = -4(2y + -3) + -1[6(y + -1) + -8y + 7]

Reorder the terms:
20 + -1[1 + 7y + -4(4 + y)] = -4(2y + -3) + -1[6(y + -1) + -8y + 7]
20 + -1[1 + 7y + (4 * -4 + y * -4)] = -4(2y + -3) + -1[6(y + -1) + -8y + 7]
20 + -1[1 + 7y + (-16 + -4y)] = -4(2y + -3) + -1[6(y + -1) + -8y + 7]

Reorder the terms:
20 + -1[1 + -16 + 7y + -4y] = -4(2y + -3) + -1[6(y + -1) + -8y + 7]

Combine like terms: 1 + -16 = -15
20 + -1[-15 + 7y + -4y] = -4(2y + -3) + -1[6(y + -1) + -8y + 7]

Combine like terms: 7y + -4y = 3y
20 + -1[-15 + 3y] = -4(2y + -3) + -1[6(y + -1) + -8y + 7]
20 + [-15 * -1 + 3y * -1] = -4(2y + -3) + -1[6(y + -1) + -8y + 7]
20 + [15 + -3y] = -4(2y + -3) + -1[6(y + -1) + -8y + 7]

Combine like terms: 20 + 15 = 35
35 + -3y = -4(2y + -3) + -1[6(y + -1) + -8y + 7]

Reorder the terms:
35 + -3y = -4(-3 + 2y) + -1[6(y + -1) + -8y + 7]
35 + -3y = (-3 * -4 + 2y * -4) + -1[6(y + -1) + -8y + 7]
35 + -3y = (12 + -8y) + -1[6(y + -1) + -8y + 7]

Reorder the terms:
35 + -3y = 12 + -8y + -1[6(-1 + y) + -8y + 7]
35 + -3y = 12 + -8y + -1[(-1 * 6 + y * 6) + -8y + 7]
35 + -3y = 12 + -8y + -1[(-6 + 6y) + -8y + 7]

Reorder the terms:
35 + -3y = 12 + -8y + -1[-6 + 7 + 6y + -8y]

Combine like terms: -6 + 7 = 1
35 + -3y = 12 + -8y + -1[1 + 6y + -8y]

Combine like terms: 6y + -8y = -2y
35 + -3y = 12 + -8y + -1[1 + -2y]
35 + -3y = 12 + -8y + [1 * -1 + -2y * -1]
35 + -3y = 12 + -8y + [-1 + 2y]

Reorder the terms:
35 + -3y = 12 + -1 + -8y + 2y

Combine like terms: 12 + -1 = 11
35 + -3y = 11 + -8y + 2y

Combine like terms: -8y + 2y = -6y
35 + -3y = 11 + -6y

Solving
35 + -3y = 11 + -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.
35 + -3y + 6y = 11 + -6y + 6y

Combine like terms: -3y + 6y = 3y
35 + 3y = 11 + -6y + 6y

Combine like terms: -6y + 6y = 0
35 + 3y = 11 + 0
35 + 3y = 11

Add '-35' to each side of the equation.
35 + -35 + 3y = 11 + -35

Combine like terms: 35 + -35 = 0
0 + 3y = 11 + -35
3y = 11 + -35

Combine like terms: 11 + -35 = -24
3y = -24

Divide each side by '3'.
y = -8

Simplifying
y = -8

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