4(zy+1)-3(2y-5)=29

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Solution for 4(zy+1)-3(2y-5)=29 equation: 


Simplifying
4(zy + 1) + -3(2y + -5) = 29

Reorder the terms:
4(1 + yz) + -3(2y + -5) = 29
(1 * 4 + yz * 4) + -3(2y + -5) = 29
(4 + 4yz) + -3(2y + -5) = 29

Reorder the terms:
4 + 4yz + -3(-5 + 2y) = 29
4 + 4yz + (-5 * -3 + 2y * -3) = 29
4 + 4yz + (15 + -6y) = 29

Reorder the terms:
4 + 15 + -6y + 4yz = 29

Combine like terms: 4 + 15 = 19
19 + -6y + 4yz = 29

Solving
19 + -6y + 4yz = 29

Solving for variable 'y'.

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

Add '-19' to each side of the equation.
19 + -6y + -19 + 4yz = 29 + -19

Reorder the terms:
19 + -19 + -6y + 4yz = 29 + -19

Combine like terms: 19 + -19 = 0
0 + -6y + 4yz = 29 + -19
-6y + 4yz = 29 + -19

Combine like terms: 29 + -19 = 10
-6y + 4yz = 10

Reorder the terms:
-10 + -6y + 4yz = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + -6y + 4yz = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -3y + 2yz) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + -3y + 2yz)' equal to zero and attempt to solve:

Simplifying
-5 + -3y + 2yz = 0

Solving
-5 + -3y + 2yz = 0

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

Add '5' to each side of the equation.
-5 + -3y + 5 + 2yz = 0 + 5

Reorder the terms:
-5 + 5 + -3y + 2yz = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3y + 2yz = 0 + 5
-3y + 2yz = 0 + 5

Combine like terms: 0 + 5 = 5
-3y + 2yz = 5

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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