25-[4+8y-3(y+4)]=-4(4y-6)-[6(y-1)-9y+13]

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Solution for 25-[4+8y-3(y+4)]=-4(4y-6)-[6(y-1)-9y+13] equation:


Simplifying
25 + -1[4 + 8y + -3(y + 4)] = -4(4y + -6) + -1[6(y + -1) + -9y + 13]

Reorder the terms:
25 + -1[4 + 8y + -3(4 + y)] = -4(4y + -6) + -1[6(y + -1) + -9y + 13]
25 + -1[4 + 8y + (4 * -3 + y * -3)] = -4(4y + -6) + -1[6(y + -1) + -9y + 13]
25 + -1[4 + 8y + (-12 + -3y)] = -4(4y + -6) + -1[6(y + -1) + -9y + 13]

Reorder the terms:
25 + -1[4 + -12 + 8y + -3y] = -4(4y + -6) + -1[6(y + -1) + -9y + 13]

Combine like terms: 4 + -12 = -8
25 + -1[-8 + 8y + -3y] = -4(4y + -6) + -1[6(y + -1) + -9y + 13]

Combine like terms: 8y + -3y = 5y
25 + -1[-8 + 5y] = -4(4y + -6) + -1[6(y + -1) + -9y + 13]
25 + [-8 * -1 + 5y * -1] = -4(4y + -6) + -1[6(y + -1) + -9y + 13]
25 + [8 + -5y] = -4(4y + -6) + -1[6(y + -1) + -9y + 13]

Combine like terms: 25 + 8 = 33
33 + -5y = -4(4y + -6) + -1[6(y + -1) + -9y + 13]

Reorder the terms:
33 + -5y = -4(-6 + 4y) + -1[6(y + -1) + -9y + 13]
33 + -5y = (-6 * -4 + 4y * -4) + -1[6(y + -1) + -9y + 13]
33 + -5y = (24 + -16y) + -1[6(y + -1) + -9y + 13]

Reorder the terms:
33 + -5y = 24 + -16y + -1[6(-1 + y) + -9y + 13]
33 + -5y = 24 + -16y + -1[(-1 * 6 + y * 6) + -9y + 13]
33 + -5y = 24 + -16y + -1[(-6 + 6y) + -9y + 13]

Reorder the terms:
33 + -5y = 24 + -16y + -1[-6 + 13 + 6y + -9y]

Combine like terms: -6 + 13 = 7
33 + -5y = 24 + -16y + -1[7 + 6y + -9y]

Combine like terms: 6y + -9y = -3y
33 + -5y = 24 + -16y + -1[7 + -3y]
33 + -5y = 24 + -16y + [7 * -1 + -3y * -1]
33 + -5y = 24 + -16y + [-7 + 3y]

Reorder the terms:
33 + -5y = 24 + -7 + -16y + 3y

Combine like terms: 24 + -7 = 17
33 + -5y = 17 + -16y + 3y

Combine like terms: -16y + 3y = -13y
33 + -5y = 17 + -13y

Solving
33 + -5y = 17 + -13y

Solving for variable 'y'.

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

Add '13y' to each side of the equation.
33 + -5y + 13y = 17 + -13y + 13y

Combine like terms: -5y + 13y = 8y
33 + 8y = 17 + -13y + 13y

Combine like terms: -13y + 13y = 0
33 + 8y = 17 + 0
33 + 8y = 17

Add '-33' to each side of the equation.
33 + -33 + 8y = 17 + -33

Combine like terms: 33 + -33 = 0
0 + 8y = 17 + -33
8y = 17 + -33

Combine like terms: 17 + -33 = -16
8y = -16

Divide each side by '8'.
y = -2

Simplifying
y = -2

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