7Y(6y+3)=

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Solution for 7Y(6y+3)= equation: 


Simplifying
7Y(6y + 3) = 0

Reorder the terms:
7Y(3 + 6y) = 0
(3 * 7Y + 6y * 7Y) = 0
(21Y + 42yY) = 0

Solving
21Y + 42yY = 0

Solving for variable 'Y'.

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

Factor out the Greatest Common Factor (GCF), '21Y'.
21Y(1 + 2y) = 0

Ignore the factor 21.

Subproblem 1
Set the factor 'Y' equal to zero and attempt to solve:

Simplifying
Y = 0

Solving
Y = 0

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

Simplifying
Y = 0

Subproblem 2
Set the factor '(1 + 2y)' equal to zero and attempt to solve:

Simplifying
1 + 2y = 0

Solving
1 + 2y = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2y = 0 + -1
2y = 0 + -1

Combine like terms: 0 + -1 = -1
2y = -1

Add '-2y' to each side of the equation.
2y + -2y = -1 + -2y

Combine like terms: 2y + -2y = 0
0 = -1 + -2y

Simplifying
0 = -1 + -2y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
Y = {0}

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