15-[3+7y-4(y+4)]=-4(3y-6)-[9(y-1)-15y+14]

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Solution for 15-[3+7y-4(y+4)]=-4(3y-6)-[9(y-1)-15y+14] equation:


Simplifying
15 + -1[3 + 7y + -4(y + 4)] = -4(3y + -6) + -1[9(y + -1) + -15y + 14]

Reorder the terms:
15 + -1[3 + 7y + -4(4 + y)] = -4(3y + -6) + -1[9(y + -1) + -15y + 14]
15 + -1[3 + 7y + (4 * -4 + y * -4)] = -4(3y + -6) + -1[9(y + -1) + -15y + 14]
15 + -1[3 + 7y + (-16 + -4y)] = -4(3y + -6) + -1[9(y + -1) + -15y + 14]

Reorder the terms:
15 + -1[3 + -16 + 7y + -4y] = -4(3y + -6) + -1[9(y + -1) + -15y + 14]

Combine like terms: 3 + -16 = -13
15 + -1[-13 + 7y + -4y] = -4(3y + -6) + -1[9(y + -1) + -15y + 14]

Combine like terms: 7y + -4y = 3y
15 + -1[-13 + 3y] = -4(3y + -6) + -1[9(y + -1) + -15y + 14]
15 + [-13 * -1 + 3y * -1] = -4(3y + -6) + -1[9(y + -1) + -15y + 14]
15 + [13 + -3y] = -4(3y + -6) + -1[9(y + -1) + -15y + 14]

Combine like terms: 15 + 13 = 28
28 + -3y = -4(3y + -6) + -1[9(y + -1) + -15y + 14]

Reorder the terms:
28 + -3y = -4(-6 + 3y) + -1[9(y + -1) + -15y + 14]
28 + -3y = (-6 * -4 + 3y * -4) + -1[9(y + -1) + -15y + 14]
28 + -3y = (24 + -12y) + -1[9(y + -1) + -15y + 14]

Reorder the terms:
28 + -3y = 24 + -12y + -1[9(-1 + y) + -15y + 14]
28 + -3y = 24 + -12y + -1[(-1 * 9 + y * 9) + -15y + 14]
28 + -3y = 24 + -12y + -1[(-9 + 9y) + -15y + 14]

Reorder the terms:
28 + -3y = 24 + -12y + -1[-9 + 14 + 9y + -15y]

Combine like terms: -9 + 14 = 5
28 + -3y = 24 + -12y + -1[5 + 9y + -15y]

Combine like terms: 9y + -15y = -6y
28 + -3y = 24 + -12y + -1[5 + -6y]
28 + -3y = 24 + -12y + [5 * -1 + -6y * -1]
28 + -3y = 24 + -12y + [-5 + 6y]

Reorder the terms:
28 + -3y = 24 + -5 + -12y + 6y

Combine like terms: 24 + -5 = 19
28 + -3y = 19 + -12y + 6y

Combine like terms: -12y + 6y = -6y
28 + -3y = 19 + -6y

Solving
28 + -3y = 19 + -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.
28 + -3y + 6y = 19 + -6y + 6y

Combine like terms: -3y + 6y = 3y
28 + 3y = 19 + -6y + 6y

Combine like terms: -6y + 6y = 0
28 + 3y = 19 + 0
28 + 3y = 19

Add '-28' to each side of the equation.
28 + -28 + 3y = 19 + -28

Combine like terms: 28 + -28 = 0
0 + 3y = 19 + -28
3y = 19 + -28

Combine like terms: 19 + -28 = -9
3y = -9

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

Simplifying
y = -3

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