15-(3-5Y)=Z(Y+3)

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Solution for 15-(3-5Y)=Z(Y+3) equation: 


Simplifying
15 + -1(3 + -5Y) = Z(Y + 3)
15 + (3 * -1 + -5Y * -1) = Z(Y + 3)
15 + (-3 + 5Y) = Z(Y + 3)

Combine like terms: 15 + -3 = 12
12 + 5Y = Z(Y + 3)

Reorder the terms:
12 + 5Y = Z(3 + Y)
12 + 5Y = (3 * Z + Y * Z)

Reorder the terms:
12 + 5Y = (YZ + 3Z)
12 + 5Y = (YZ + 3Z)

Solving
12 + 5Y = YZ + 3Z

Solving for variable 'Y'.

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

Add '-1YZ' to each side of the equation.
12 + 5Y + -1YZ = YZ + -1YZ + 3Z

Combine like terms: YZ + -1YZ = 0
12 + 5Y + -1YZ = 0 + 3Z
12 + 5Y + -1YZ = 3Z

Add '-12' to each side of the equation.
12 + 5Y + -12 + -1YZ = -12 + 3Z

Reorder the terms:
12 + -12 + 5Y + -1YZ = -12 + 3Z

Combine like terms: 12 + -12 = 0
0 + 5Y + -1YZ = -12 + 3Z
5Y + -1YZ = -12 + 3Z

Reorder the terms:
12 + 5Y + -1YZ + -3Z = -12 + 3Z + 12 + -3Z

Reorder the terms:
12 + 5Y + -1YZ + -3Z = -12 + 12 + 3Z + -3Z

Combine like terms: -12 + 12 = 0
12 + 5Y + -1YZ + -3Z = 0 + 3Z + -3Z
12 + 5Y + -1YZ + -3Z = 3Z + -3Z

Combine like terms: 3Z + -3Z = 0
12 + 5Y + -1YZ + -3Z = 0

The solution to this equation could not be determined.

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