34-[5+9y-3(y+5)]=-3(4y-6)-[5(y-1)-6y+9]

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Solution for 34-[5+9y-3(y+5)]=-3(4y-6)-[5(y-1)-6y+9] equation:


Simplifying
34 + -1[5 + 9y + -3(y + 5)] = -3(4y + -6) + -1[5(y + -1) + -6y + 9]

Reorder the terms:
34 + -1[5 + 9y + -3(5 + y)] = -3(4y + -6) + -1[5(y + -1) + -6y + 9]
34 + -1[5 + 9y + (5 * -3 + y * -3)] = -3(4y + -6) + -1[5(y + -1) + -6y + 9]
34 + -1[5 + 9y + (-15 + -3y)] = -3(4y + -6) + -1[5(y + -1) + -6y + 9]

Reorder the terms:
34 + -1[5 + -15 + 9y + -3y] = -3(4y + -6) + -1[5(y + -1) + -6y + 9]

Combine like terms: 5 + -15 = -10
34 + -1[-10 + 9y + -3y] = -3(4y + -6) + -1[5(y + -1) + -6y + 9]

Combine like terms: 9y + -3y = 6y
34 + -1[-10 + 6y] = -3(4y + -6) + -1[5(y + -1) + -6y + 9]
34 + [-10 * -1 + 6y * -1] = -3(4y + -6) + -1[5(y + -1) + -6y + 9]
34 + [10 + -6y] = -3(4y + -6) + -1[5(y + -1) + -6y + 9]

Combine like terms: 34 + 10 = 44
44 + -6y = -3(4y + -6) + -1[5(y + -1) + -6y + 9]

Reorder the terms:
44 + -6y = -3(-6 + 4y) + -1[5(y + -1) + -6y + 9]
44 + -6y = (-6 * -3 + 4y * -3) + -1[5(y + -1) + -6y + 9]
44 + -6y = (18 + -12y) + -1[5(y + -1) + -6y + 9]

Reorder the terms:
44 + -6y = 18 + -12y + -1[5(-1 + y) + -6y + 9]
44 + -6y = 18 + -12y + -1[(-1 * 5 + y * 5) + -6y + 9]
44 + -6y = 18 + -12y + -1[(-5 + 5y) + -6y + 9]

Reorder the terms:
44 + -6y = 18 + -12y + -1[-5 + 9 + 5y + -6y]

Combine like terms: -5 + 9 = 4
44 + -6y = 18 + -12y + -1[4 + 5y + -6y]

Combine like terms: 5y + -6y = -1y
44 + -6y = 18 + -12y + -1[4 + -1y]
44 + -6y = 18 + -12y + [4 * -1 + -1y * -1]
44 + -6y = 18 + -12y + [-4 + 1y]

Reorder the terms:
44 + -6y = 18 + -4 + -12y + 1y

Combine like terms: 18 + -4 = 14
44 + -6y = 14 + -12y + 1y

Combine like terms: -12y + 1y = -11y
44 + -6y = 14 + -11y

Solving
44 + -6y = 14 + -11y

Solving for variable 'y'.

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

Add '11y' to each side of the equation.
44 + -6y + 11y = 14 + -11y + 11y

Combine like terms: -6y + 11y = 5y
44 + 5y = 14 + -11y + 11y

Combine like terms: -11y + 11y = 0
44 + 5y = 14 + 0
44 + 5y = 14

Add '-44' to each side of the equation.
44 + -44 + 5y = 14 + -44

Combine like terms: 44 + -44 = 0
0 + 5y = 14 + -44
5y = 14 + -44

Combine like terms: 14 + -44 = -30
5y = -30

Divide each side by '5'.
y = -6

Simplifying
y = -6

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