3(2y+1)-5(12y-7)=23-7(6y-1)

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Solution for 3(2y+1)-5(12y-7)=23-7(6y-1) equation:


Simplifying
3(2y + 1) + -5(12y + -7) = 23 + -7(6y + -1)

Reorder the terms:
3(1 + 2y) + -5(12y + -7) = 23 + -7(6y + -1)
(1 * 3 + 2y * 3) + -5(12y + -7) = 23 + -7(6y + -1)
(3 + 6y) + -5(12y + -7) = 23 + -7(6y + -1)

Reorder the terms:
3 + 6y + -5(-7 + 12y) = 23 + -7(6y + -1)
3 + 6y + (-7 * -5 + 12y * -5) = 23 + -7(6y + -1)
3 + 6y + (35 + -60y) = 23 + -7(6y + -1)

Reorder the terms:
3 + 35 + 6y + -60y = 23 + -7(6y + -1)

Combine like terms: 3 + 35 = 38
38 + 6y + -60y = 23 + -7(6y + -1)

Combine like terms: 6y + -60y = -54y
38 + -54y = 23 + -7(6y + -1)

Reorder the terms:
38 + -54y = 23 + -7(-1 + 6y)
38 + -54y = 23 + (-1 * -7 + 6y * -7)
38 + -54y = 23 + (7 + -42y)

Combine like terms: 23 + 7 = 30
38 + -54y = 30 + -42y

Solving
38 + -54y = 30 + -42y

Solving for variable 'y'.

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

Add '42y' to each side of the equation.
38 + -54y + 42y = 30 + -42y + 42y

Combine like terms: -54y + 42y = -12y
38 + -12y = 30 + -42y + 42y

Combine like terms: -42y + 42y = 0
38 + -12y = 30 + 0
38 + -12y = 30

Add '-38' to each side of the equation.
38 + -38 + -12y = 30 + -38

Combine like terms: 38 + -38 = 0
0 + -12y = 30 + -38
-12y = 30 + -38

Combine like terms: 30 + -38 = -8
-12y = -8

Divide each side by '-12'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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