17-[1+6y-3(y+4)]=-5(4y-3)-[9(y-1)-21y+12]

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Solution for 17-[1+6y-3(y+4)]=-5(4y-3)-[9(y-1)-21y+12] equation:


Simplifying
17 + -1[1 + 6y + -3(y + 4)] = -5(4y + -3) + -1[9(y + -1) + -21y + 12]

Reorder the terms:
17 + -1[1 + 6y + -3(4 + y)] = -5(4y + -3) + -1[9(y + -1) + -21y + 12]
17 + -1[1 + 6y + (4 * -3 + y * -3)] = -5(4y + -3) + -1[9(y + -1) + -21y + 12]
17 + -1[1 + 6y + (-12 + -3y)] = -5(4y + -3) + -1[9(y + -1) + -21y + 12]

Reorder the terms:
17 + -1[1 + -12 + 6y + -3y] = -5(4y + -3) + -1[9(y + -1) + -21y + 12]

Combine like terms: 1 + -12 = -11
17 + -1[-11 + 6y + -3y] = -5(4y + -3) + -1[9(y + -1) + -21y + 12]

Combine like terms: 6y + -3y = 3y
17 + -1[-11 + 3y] = -5(4y + -3) + -1[9(y + -1) + -21y + 12]
17 + [-11 * -1 + 3y * -1] = -5(4y + -3) + -1[9(y + -1) + -21y + 12]
17 + [11 + -3y] = -5(4y + -3) + -1[9(y + -1) + -21y + 12]

Combine like terms: 17 + 11 = 28
28 + -3y = -5(4y + -3) + -1[9(y + -1) + -21y + 12]

Reorder the terms:
28 + -3y = -5(-3 + 4y) + -1[9(y + -1) + -21y + 12]
28 + -3y = (-3 * -5 + 4y * -5) + -1[9(y + -1) + -21y + 12]
28 + -3y = (15 + -20y) + -1[9(y + -1) + -21y + 12]

Reorder the terms:
28 + -3y = 15 + -20y + -1[9(-1 + y) + -21y + 12]
28 + -3y = 15 + -20y + -1[(-1 * 9 + y * 9) + -21y + 12]
28 + -3y = 15 + -20y + -1[(-9 + 9y) + -21y + 12]

Reorder the terms:
28 + -3y = 15 + -20y + -1[-9 + 12 + 9y + -21y]

Combine like terms: -9 + 12 = 3
28 + -3y = 15 + -20y + -1[3 + 9y + -21y]

Combine like terms: 9y + -21y = -12y
28 + -3y = 15 + -20y + -1[3 + -12y]
28 + -3y = 15 + -20y + [3 * -1 + -12y * -1]
28 + -3y = 15 + -20y + [-3 + 12y]

Reorder the terms:
28 + -3y = 15 + -3 + -20y + 12y

Combine like terms: 15 + -3 = 12
28 + -3y = 12 + -20y + 12y

Combine like terms: -20y + 12y = -8y
28 + -3y = 12 + -8y

Solving
28 + -3y = 12 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
28 + -3y + 8y = 12 + -8y + 8y

Combine like terms: -3y + 8y = 5y
28 + 5y = 12 + -8y + 8y

Combine like terms: -8y + 8y = 0
28 + 5y = 12 + 0
28 + 5y = 12

Add '-28' to each side of the equation.
28 + -28 + 5y = 12 + -28

Combine like terms: 28 + -28 = 0
0 + 5y = 12 + -28
5y = 12 + -28

Combine like terms: 12 + -28 = -16
5y = -16

Divide each side by '5'.
y = -3.2

Simplifying
y = -3.2

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