6(6y+3)+9=2(2y-1)-6

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Solution for 6(6y+3)+9=2(2y-1)-6 equation: 


Simplifying
6(6y + 3) + 9 = 2(2y + -1) + -6

Reorder the terms:
6(3 + 6y) + 9 = 2(2y + -1) + -6
(3 * 6 + 6y * 6) + 9 = 2(2y + -1) + -6
(18 + 36y) + 9 = 2(2y + -1) + -6

Reorder the terms:
18 + 9 + 36y = 2(2y + -1) + -6

Combine like terms: 18 + 9 = 27
27 + 36y = 2(2y + -1) + -6

Reorder the terms:
27 + 36y = 2(-1 + 2y) + -6
27 + 36y = (-1 * 2 + 2y * 2) + -6
27 + 36y = (-2 + 4y) + -6

Reorder the terms:
27 + 36y = -2 + -6 + 4y

Combine like terms: -2 + -6 = -8
27 + 36y = -8 + 4y

Solving
27 + 36y = -8 + 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.
27 + 36y + -4y = -8 + 4y + -4y

Combine like terms: 36y + -4y = 32y
27 + 32y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 0
27 + 32y = -8 + 0
27 + 32y = -8

Add '-27' to each side of the equation.
27 + -27 + 32y = -8 + -27

Combine like terms: 27 + -27 = 0
0 + 32y = -8 + -27
32y = -8 + -27

Combine like terms: -8 + -27 = -35
32y = -35

Divide each side by '32'.
y = -1.09375

Simplifying
y = -1.09375

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