24-[4+6y-3(y+3)]=-5(5y-3)-[6(6y-1)-26y+4]

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Solution for 24-[4+6y-3(y+3)]=-5(5y-3)-[6(6y-1)-26y+4] equation:


Simplifying
24 + -1[4 + 6y + -3(y + 3)] = -5(5y + -3) + -1[6(6y + -1) + -26y + 4]

Reorder the terms:
24 + -1[4 + 6y + -3(3 + y)] = -5(5y + -3) + -1[6(6y + -1) + -26y + 4]
24 + -1[4 + 6y + (3 * -3 + y * -3)] = -5(5y + -3) + -1[6(6y + -1) + -26y + 4]
24 + -1[4 + 6y + (-9 + -3y)] = -5(5y + -3) + -1[6(6y + -1) + -26y + 4]

Reorder the terms:
24 + -1[4 + -9 + 6y + -3y] = -5(5y + -3) + -1[6(6y + -1) + -26y + 4]

Combine like terms: 4 + -9 = -5
24 + -1[-5 + 6y + -3y] = -5(5y + -3) + -1[6(6y + -1) + -26y + 4]

Combine like terms: 6y + -3y = 3y
24 + -1[-5 + 3y] = -5(5y + -3) + -1[6(6y + -1) + -26y + 4]
24 + [-5 * -1 + 3y * -1] = -5(5y + -3) + -1[6(6y + -1) + -26y + 4]
24 + [5 + -3y] = -5(5y + -3) + -1[6(6y + -1) + -26y + 4]

Combine like terms: 24 + 5 = 29
29 + -3y = -5(5y + -3) + -1[6(6y + -1) + -26y + 4]

Reorder the terms:
29 + -3y = -5(-3 + 5y) + -1[6(6y + -1) + -26y + 4]
29 + -3y = (-3 * -5 + 5y * -5) + -1[6(6y + -1) + -26y + 4]
29 + -3y = (15 + -25y) + -1[6(6y + -1) + -26y + 4]

Reorder the terms:
29 + -3y = 15 + -25y + -1[6(-1 + 6y) + -26y + 4]
29 + -3y = 15 + -25y + -1[(-1 * 6 + 6y * 6) + -26y + 4]
29 + -3y = 15 + -25y + -1[(-6 + 36y) + -26y + 4]

Reorder the terms:
29 + -3y = 15 + -25y + -1[-6 + 4 + 36y + -26y]

Combine like terms: -6 + 4 = -2
29 + -3y = 15 + -25y + -1[-2 + 36y + -26y]

Combine like terms: 36y + -26y = 10y
29 + -3y = 15 + -25y + -1[-2 + 10y]
29 + -3y = 15 + -25y + [-2 * -1 + 10y * -1]
29 + -3y = 15 + -25y + [2 + -10y]

Reorder the terms:
29 + -3y = 15 + 2 + -25y + -10y

Combine like terms: 15 + 2 = 17
29 + -3y = 17 + -25y + -10y

Combine like terms: -25y + -10y = -35y
29 + -3y = 17 + -35y

Solving
29 + -3y = 17 + -35y

Solving for variable 'y'.

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

Add '35y' to each side of the equation.
29 + -3y + 35y = 17 + -35y + 35y

Combine like terms: -3y + 35y = 32y
29 + 32y = 17 + -35y + 35y

Combine like terms: -35y + 35y = 0
29 + 32y = 17 + 0
29 + 32y = 17

Add '-29' to each side of the equation.
29 + -29 + 32y = 17 + -29

Combine like terms: 29 + -29 = 0
0 + 32y = 17 + -29
32y = 17 + -29

Combine like terms: 17 + -29 = -12
32y = -12

Divide each side by '32'.
y = -0.375

Simplifying
y = -0.375

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