17-[2+4y-2(y+5)]=-4(5y-4)-[9(y-1)-25y+8]

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Solution for 17-[2+4y-2(y+5)]=-4(5y-4)-[9(y-1)-25y+8] equation:


Simplifying
17 + -1[2 + 4y + -2(y + 5)] = -4(5y + -4) + -1[9(y + -1) + -25y + 8]

Reorder the terms:
17 + -1[2 + 4y + -2(5 + y)] = -4(5y + -4) + -1[9(y + -1) + -25y + 8]
17 + -1[2 + 4y + (5 * -2 + y * -2)] = -4(5y + -4) + -1[9(y + -1) + -25y + 8]
17 + -1[2 + 4y + (-10 + -2y)] = -4(5y + -4) + -1[9(y + -1) + -25y + 8]

Reorder the terms:
17 + -1[2 + -10 + 4y + -2y] = -4(5y + -4) + -1[9(y + -1) + -25y + 8]

Combine like terms: 2 + -10 = -8
17 + -1[-8 + 4y + -2y] = -4(5y + -4) + -1[9(y + -1) + -25y + 8]

Combine like terms: 4y + -2y = 2y
17 + -1[-8 + 2y] = -4(5y + -4) + -1[9(y + -1) + -25y + 8]
17 + [-8 * -1 + 2y * -1] = -4(5y + -4) + -1[9(y + -1) + -25y + 8]
17 + [8 + -2y] = -4(5y + -4) + -1[9(y + -1) + -25y + 8]

Combine like terms: 17 + 8 = 25
25 + -2y = -4(5y + -4) + -1[9(y + -1) + -25y + 8]

Reorder the terms:
25 + -2y = -4(-4 + 5y) + -1[9(y + -1) + -25y + 8]
25 + -2y = (-4 * -4 + 5y * -4) + -1[9(y + -1) + -25y + 8]
25 + -2y = (16 + -20y) + -1[9(y + -1) + -25y + 8]

Reorder the terms:
25 + -2y = 16 + -20y + -1[9(-1 + y) + -25y + 8]
25 + -2y = 16 + -20y + -1[(-1 * 9 + y * 9) + -25y + 8]
25 + -2y = 16 + -20y + -1[(-9 + 9y) + -25y + 8]

Reorder the terms:
25 + -2y = 16 + -20y + -1[-9 + 8 + 9y + -25y]

Combine like terms: -9 + 8 = -1
25 + -2y = 16 + -20y + -1[-1 + 9y + -25y]

Combine like terms: 9y + -25y = -16y
25 + -2y = 16 + -20y + -1[-1 + -16y]
25 + -2y = 16 + -20y + [-1 * -1 + -16y * -1]
25 + -2y = 16 + -20y + [1 + 16y]

Reorder the terms:
25 + -2y = 16 + 1 + -20y + 16y

Combine like terms: 16 + 1 = 17
25 + -2y = 17 + -20y + 16y

Combine like terms: -20y + 16y = -4y
25 + -2y = 17 + -4y

Solving
25 + -2y = 17 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
25 + -2y + 4y = 17 + -4y + 4y

Combine like terms: -2y + 4y = 2y
25 + 2y = 17 + -4y + 4y

Combine like terms: -4y + 4y = 0
25 + 2y = 17 + 0
25 + 2y = 17

Add '-25' to each side of the equation.
25 + -25 + 2y = 17 + -25

Combine like terms: 25 + -25 = 0
0 + 2y = 17 + -25
2y = 17 + -25

Combine like terms: 17 + -25 = -8
2y = -8

Divide each side by '2'.
y = -4

Simplifying
y = -4

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