12q(3+y)=5(2y+8)

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Solution for 12q(3+y)=5(2y+8) equation: 


Simplifying
12q(3 + y) = 5(2y + 8)
(3 * 12q + y * 12q) = 5(2y + 8)
(36q + 12qy) = 5(2y + 8)

Reorder the terms:
36q + 12qy = 5(8 + 2y)
36q + 12qy = (8 * 5 + 2y * 5)
36q + 12qy = (40 + 10y)

Solving
36q + 12qy = 40 + 10y

Solving for variable 'q'.

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

Reorder the terms:
-40 + 36q + 12qy + -10y = 40 + 10y + -40 + -10y

Reorder the terms:
-40 + 36q + 12qy + -10y = 40 + -40 + 10y + -10y

Combine like terms: 40 + -40 = 0
-40 + 36q + 12qy + -10y = 0 + 10y + -10y
-40 + 36q + 12qy + -10y = 10y + -10y

Combine like terms: 10y + -10y = 0
-40 + 36q + 12qy + -10y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + 18q + 6qy + -5y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-20 + 18q + 6qy + -5y)' equal to zero and attempt to solve:

Simplifying
-20 + 18q + 6qy + -5y = 0

Solving
-20 + 18q + 6qy + -5y = 0

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

Add '20' to each side of the equation.
-20 + 18q + 6qy + 20 + -5y = 0 + 20

Reorder the terms:
-20 + 20 + 18q + 6qy + -5y = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 18q + 6qy + -5y = 0 + 20
18q + 6qy + -5y = 0 + 20

Combine like terms: 0 + 20 = 20
18q + 6qy + -5y = 20

Add '5y' to each side of the equation.
18q + 6qy + -5y + 5y = 20 + 5y

Combine like terms: -5y + 5y = 0
18q + 6qy + 0 = 20 + 5y
18q + 6qy = 20 + 5y

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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