30-[3+6y-3(y+5)]=-4(2y-4)-[9(y-1)-11y+10]

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Solution for 30-[3+6y-3(y+5)]=-4(2y-4)-[9(y-1)-11y+10] equation:


Simplifying
30 + -1[3 + 6y + -3(y + 5)] = -4(2y + -4) + -1[9(y + -1) + -11y + 10]

Reorder the terms:
30 + -1[3 + 6y + -3(5 + y)] = -4(2y + -4) + -1[9(y + -1) + -11y + 10]
30 + -1[3 + 6y + (5 * -3 + y * -3)] = -4(2y + -4) + -1[9(y + -1) + -11y + 10]
30 + -1[3 + 6y + (-15 + -3y)] = -4(2y + -4) + -1[9(y + -1) + -11y + 10]

Reorder the terms:
30 + -1[3 + -15 + 6y + -3y] = -4(2y + -4) + -1[9(y + -1) + -11y + 10]

Combine like terms: 3 + -15 = -12
30 + -1[-12 + 6y + -3y] = -4(2y + -4) + -1[9(y + -1) + -11y + 10]

Combine like terms: 6y + -3y = 3y
30 + -1[-12 + 3y] = -4(2y + -4) + -1[9(y + -1) + -11y + 10]
30 + [-12 * -1 + 3y * -1] = -4(2y + -4) + -1[9(y + -1) + -11y + 10]
30 + [12 + -3y] = -4(2y + -4) + -1[9(y + -1) + -11y + 10]

Combine like terms: 30 + 12 = 42
42 + -3y = -4(2y + -4) + -1[9(y + -1) + -11y + 10]

Reorder the terms:
42 + -3y = -4(-4 + 2y) + -1[9(y + -1) + -11y + 10]
42 + -3y = (-4 * -4 + 2y * -4) + -1[9(y + -1) + -11y + 10]
42 + -3y = (16 + -8y) + -1[9(y + -1) + -11y + 10]

Reorder the terms:
42 + -3y = 16 + -8y + -1[9(-1 + y) + -11y + 10]
42 + -3y = 16 + -8y + -1[(-1 * 9 + y * 9) + -11y + 10]
42 + -3y = 16 + -8y + -1[(-9 + 9y) + -11y + 10]

Reorder the terms:
42 + -3y = 16 + -8y + -1[-9 + 10 + 9y + -11y]

Combine like terms: -9 + 10 = 1
42 + -3y = 16 + -8y + -1[1 + 9y + -11y]

Combine like terms: 9y + -11y = -2y
42 + -3y = 16 + -8y + -1[1 + -2y]
42 + -3y = 16 + -8y + [1 * -1 + -2y * -1]
42 + -3y = 16 + -8y + [-1 + 2y]

Reorder the terms:
42 + -3y = 16 + -1 + -8y + 2y

Combine like terms: 16 + -1 = 15
42 + -3y = 15 + -8y + 2y

Combine like terms: -8y + 2y = -6y
42 + -3y = 15 + -6y

Solving
42 + -3y = 15 + -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.
42 + -3y + 6y = 15 + -6y + 6y

Combine like terms: -3y + 6y = 3y
42 + 3y = 15 + -6y + 6y

Combine like terms: -6y + 6y = 0
42 + 3y = 15 + 0
42 + 3y = 15

Add '-42' to each side of the equation.
42 + -42 + 3y = 15 + -42

Combine like terms: 42 + -42 = 0
0 + 3y = 15 + -42
3y = 15 + -42

Combine like terms: 15 + -42 = -27
3y = -27

Divide each side by '3'.
y = -9

Simplifying
y = -9

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