3(4y+1)+8=6(3y-3)-20

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Solution for 3(4y+1)+8=6(3y-3)-20 equation: 


Simplifying
3(4y + 1) + 8 = 6(3y + -3) + -20

Reorder the terms:
3(1 + 4y) + 8 = 6(3y + -3) + -20
(1 * 3 + 4y * 3) + 8 = 6(3y + -3) + -20
(3 + 12y) + 8 = 6(3y + -3) + -20

Reorder the terms:
3 + 8 + 12y = 6(3y + -3) + -20

Combine like terms: 3 + 8 = 11
11 + 12y = 6(3y + -3) + -20

Reorder the terms:
11 + 12y = 6(-3 + 3y) + -20
11 + 12y = (-3 * 6 + 3y * 6) + -20
11 + 12y = (-18 + 18y) + -20

Reorder the terms:
11 + 12y = -18 + -20 + 18y

Combine like terms: -18 + -20 = -38
11 + 12y = -38 + 18y

Solving
11 + 12y = -38 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
11 + 12y + -18y = -38 + 18y + -18y

Combine like terms: 12y + -18y = -6y
11 + -6y = -38 + 18y + -18y

Combine like terms: 18y + -18y = 0
11 + -6y = -38 + 0
11 + -6y = -38

Add '-11' to each side of the equation.
11 + -11 + -6y = -38 + -11

Combine like terms: 11 + -11 = 0
0 + -6y = -38 + -11
-6y = -38 + -11

Combine like terms: -38 + -11 = -49
-6y = -49

Divide each side by '-6'.
y = 8.166666667

Simplifying
y = 8.166666667

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