25-[2+9y-3(y+5)]=-4(4y-7)-[8(y-1)-15y+22]

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Solution for 25-[2+9y-3(y+5)]=-4(4y-7)-[8(y-1)-15y+22] equation:


Simplifying
25 + -1[2 + 9y + -3(y + 5)] = -4(4y + -7) + -1[8(y + -1) + -15y + 22]

Reorder the terms:
25 + -1[2 + 9y + -3(5 + y)] = -4(4y + -7) + -1[8(y + -1) + -15y + 22]
25 + -1[2 + 9y + (5 * -3 + y * -3)] = -4(4y + -7) + -1[8(y + -1) + -15y + 22]
25 + -1[2 + 9y + (-15 + -3y)] = -4(4y + -7) + -1[8(y + -1) + -15y + 22]

Reorder the terms:
25 + -1[2 + -15 + 9y + -3y] = -4(4y + -7) + -1[8(y + -1) + -15y + 22]

Combine like terms: 2 + -15 = -13
25 + -1[-13 + 9y + -3y] = -4(4y + -7) + -1[8(y + -1) + -15y + 22]

Combine like terms: 9y + -3y = 6y
25 + -1[-13 + 6y] = -4(4y + -7) + -1[8(y + -1) + -15y + 22]
25 + [-13 * -1 + 6y * -1] = -4(4y + -7) + -1[8(y + -1) + -15y + 22]
25 + [13 + -6y] = -4(4y + -7) + -1[8(y + -1) + -15y + 22]

Combine like terms: 25 + 13 = 38
38 + -6y = -4(4y + -7) + -1[8(y + -1) + -15y + 22]

Reorder the terms:
38 + -6y = -4(-7 + 4y) + -1[8(y + -1) + -15y + 22]
38 + -6y = (-7 * -4 + 4y * -4) + -1[8(y + -1) + -15y + 22]
38 + -6y = (28 + -16y) + -1[8(y + -1) + -15y + 22]

Reorder the terms:
38 + -6y = 28 + -16y + -1[8(-1 + y) + -15y + 22]
38 + -6y = 28 + -16y + -1[(-1 * 8 + y * 8) + -15y + 22]
38 + -6y = 28 + -16y + -1[(-8 + 8y) + -15y + 22]

Reorder the terms:
38 + -6y = 28 + -16y + -1[-8 + 22 + 8y + -15y]

Combine like terms: -8 + 22 = 14
38 + -6y = 28 + -16y + -1[14 + 8y + -15y]

Combine like terms: 8y + -15y = -7y
38 + -6y = 28 + -16y + -1[14 + -7y]
38 + -6y = 28 + -16y + [14 * -1 + -7y * -1]
38 + -6y = 28 + -16y + [-14 + 7y]

Reorder the terms:
38 + -6y = 28 + -14 + -16y + 7y

Combine like terms: 28 + -14 = 14
38 + -6y = 14 + -16y + 7y

Combine like terms: -16y + 7y = -9y
38 + -6y = 14 + -9y

Solving
38 + -6y = 14 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
38 + -6y + 9y = 14 + -9y + 9y

Combine like terms: -6y + 9y = 3y
38 + 3y = 14 + -9y + 9y

Combine like terms: -9y + 9y = 0
38 + 3y = 14 + 0
38 + 3y = 14

Add '-38' to each side of the equation.
38 + -38 + 3y = 14 + -38

Combine like terms: 38 + -38 = 0
0 + 3y = 14 + -38
3y = 14 + -38

Combine like terms: 14 + -38 = -24
3y = -24

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

Simplifying
y = -8

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