3(1+4n)6-2y(5n-3)=-36

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Solution for 3(1+4n)6-2y(5n-3)=-36 equation: 


Simplifying
3(1 + 4n) * 6 + -2y(5n + -3) = -36

Reorder the terms for easier multiplication:
3 * 6(1 + 4n) + -2y(5n + -3) = -36

Multiply 3 * 6
18(1 + 4n) + -2y(5n + -3) = -36
(1 * 18 + 4n * 18) + -2y(5n + -3) = -36
(18 + 72n) + -2y(5n + -3) = -36

Reorder the terms:
18 + 72n + -2y(-3 + 5n) = -36
18 + 72n + (-3 * -2y + 5n * -2y) = -36

Reorder the terms:
18 + 72n + (-10ny + 6y) = -36
18 + 72n + (-10ny + 6y) = -36

Solving
18 + 72n + -10ny + 6y = -36

Solving for variable 'n'.

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

Add '-18' to each side of the equation.
18 + 72n + -10ny + -18 + 6y = -36 + -18

Reorder the terms:
18 + -18 + 72n + -10ny + 6y = -36 + -18

Combine like terms: 18 + -18 = 0
0 + 72n + -10ny + 6y = -36 + -18
72n + -10ny + 6y = -36 + -18

Combine like terms: -36 + -18 = -54
72n + -10ny + 6y = -54

Add '-6y' to each side of the equation.
72n + -10ny + 6y + -6y = -54 + -6y

Combine like terms: 6y + -6y = 0
72n + -10ny + 0 = -54 + -6y
72n + -10ny = -54 + -6y

Reorder the terms:
54 + 72n + -10ny + 6y = -54 + -6y + 54 + 6y

Reorder the terms:
54 + 72n + -10ny + 6y = -54 + 54 + -6y + 6y

Combine like terms: -54 + 54 = 0
54 + 72n + -10ny + 6y = 0 + -6y + 6y
54 + 72n + -10ny + 6y = -6y + 6y

Combine like terms: -6y + 6y = 0
54 + 72n + -10ny + 6y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(27 + 36n + -5ny + 3y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(27 + 36n + -5ny + 3y)' equal to zero and attempt to solve:

Simplifying
27 + 36n + -5ny + 3y = 0

Solving
27 + 36n + -5ny + 3y = 0

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

Add '-27' to each side of the equation.
27 + 36n + -5ny + -27 + 3y = 0 + -27

Reorder the terms:
27 + -27 + 36n + -5ny + 3y = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 36n + -5ny + 3y = 0 + -27
36n + -5ny + 3y = 0 + -27

Combine like terms: 0 + -27 = -27
36n + -5ny + 3y = -27

Add '-3y' to each side of the equation.
36n + -5ny + 3y + -3y = -27 + -3y

Combine like terms: 3y + -3y = 0
36n + -5ny + 0 = -27 + -3y
36n + -5ny = -27 + -3y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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