25-[4+7y-4(y+2)]=-3(5y-4)-[6(y-1)-16y+7]

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Solution for 25-[4+7y-4(y+2)]=-3(5y-4)-[6(y-1)-16y+7] equation:


Simplifying
25 + -1[4 + 7y + -4(y + 2)] = -3(5y + -4) + -1[6(y + -1) + -16y + 7]

Reorder the terms:
25 + -1[4 + 7y + -4(2 + y)] = -3(5y + -4) + -1[6(y + -1) + -16y + 7]
25 + -1[4 + 7y + (2 * -4 + y * -4)] = -3(5y + -4) + -1[6(y + -1) + -16y + 7]
25 + -1[4 + 7y + (-8 + -4y)] = -3(5y + -4) + -1[6(y + -1) + -16y + 7]

Reorder the terms:
25 + -1[4 + -8 + 7y + -4y] = -3(5y + -4) + -1[6(y + -1) + -16y + 7]

Combine like terms: 4 + -8 = -4
25 + -1[-4 + 7y + -4y] = -3(5y + -4) + -1[6(y + -1) + -16y + 7]

Combine like terms: 7y + -4y = 3y
25 + -1[-4 + 3y] = -3(5y + -4) + -1[6(y + -1) + -16y + 7]
25 + [-4 * -1 + 3y * -1] = -3(5y + -4) + -1[6(y + -1) + -16y + 7]
25 + [4 + -3y] = -3(5y + -4) + -1[6(y + -1) + -16y + 7]

Combine like terms: 25 + 4 = 29
29 + -3y = -3(5y + -4) + -1[6(y + -1) + -16y + 7]

Reorder the terms:
29 + -3y = -3(-4 + 5y) + -1[6(y + -1) + -16y + 7]
29 + -3y = (-4 * -3 + 5y * -3) + -1[6(y + -1) + -16y + 7]
29 + -3y = (12 + -15y) + -1[6(y + -1) + -16y + 7]

Reorder the terms:
29 + -3y = 12 + -15y + -1[6(-1 + y) + -16y + 7]
29 + -3y = 12 + -15y + -1[(-1 * 6 + y * 6) + -16y + 7]
29 + -3y = 12 + -15y + -1[(-6 + 6y) + -16y + 7]

Reorder the terms:
29 + -3y = 12 + -15y + -1[-6 + 7 + 6y + -16y]

Combine like terms: -6 + 7 = 1
29 + -3y = 12 + -15y + -1[1 + 6y + -16y]

Combine like terms: 6y + -16y = -10y
29 + -3y = 12 + -15y + -1[1 + -10y]
29 + -3y = 12 + -15y + [1 * -1 + -10y * -1]
29 + -3y = 12 + -15y + [-1 + 10y]

Reorder the terms:
29 + -3y = 12 + -1 + -15y + 10y

Combine like terms: 12 + -1 = 11
29 + -3y = 11 + -15y + 10y

Combine like terms: -15y + 10y = -5y
29 + -3y = 11 + -5y

Solving
29 + -3y = 11 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
29 + -3y + 5y = 11 + -5y + 5y

Combine like terms: -3y + 5y = 2y
29 + 2y = 11 + -5y + 5y

Combine like terms: -5y + 5y = 0
29 + 2y = 11 + 0
29 + 2y = 11

Add '-29' to each side of the equation.
29 + -29 + 2y = 11 + -29

Combine like terms: 29 + -29 = 0
0 + 2y = 11 + -29
2y = 11 + -29

Combine like terms: 11 + -29 = -18
2y = -18

Divide each side by '2'.
y = -9

Simplifying
y = -9

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