3(4y-2)=2(zy+5)

Solution for 3(4y-2)=2(zy+5) equation:

Simplifying
3(4y + -2) = 2(zy + 5)

Reorder the terms:
3(-2 + 4y) = 2(zy + 5)
(-2 * 3 + 4y * 3) = 2(zy + 5)
(-6 + 12y) = 2(zy + 5)

Reorder the terms:
-6 + 12y = 2(5 + yz)
-6 + 12y = (5 * 2 + yz * 2)
-6 + 12y = (10 + 2yz)

Solving
-6 + 12y = 10 + 2yz

Solving for variable 'y'.

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

Add '-2yz' to each side of the equation.
-6 + 12y + -2yz = 10 + 2yz + -2yz

Combine like terms: 2yz + -2yz = 0
-6 + 12y + -2yz = 10 + 0
-6 + 12y + -2yz = 10

Add '6' to each side of the equation.
-6 + 12y + 6 + -2yz = 10 + 6

Reorder the terms:
-6 + 6 + 12y + -2yz = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 12y + -2yz = 10 + 6
12y + -2yz = 10 + 6

Combine like terms: 10 + 6 = 16
12y + -2yz = 16

Reorder the terms:
-16 + 12y + -2yz = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + 12y + -2yz = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 6y + -1yz) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-8 + 6y + -1yz)' equal to zero and attempt to solve:

Simplifying
-8 + 6y + -1yz = 0

Solving
-8 + 6y + -1yz = 0

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

Add '8' to each side of the equation.
-8 + 6y + 8 + -1yz = 0 + 8

Reorder the terms:
-8 + 8 + 6y + -1yz = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 6y + -1yz = 0 + 8
6y + -1yz = 0 + 8

Combine like terms: 0 + 8 = 8
6y + -1yz = 8

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.