8y-3=5(y-1)Z+3y

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Solution for 8y-3=5(y-1)Z+3y equation:


Simplifying
8y + -3 = 5(y + -1) * Z + 3y

Reorder the terms:
-3 + 8y = 5(y + -1) * Z + 3y

Reorder the terms:
-3 + 8y = 5(-1 + y) * Z + 3y

Reorder the terms for easier multiplication:
-3 + 8y = 5Z(-1 + y) + 3y
-3 + 8y = (-1 * 5Z + y * 5Z) + 3y
-3 + 8y = (-5Z + 5yZ) + 3y

Reorder the terms:
-3 + 8y = -5Z + 3y + 5yZ

Solving
-3 + 8y = -5Z + 3y + 5yZ

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-3 + 8y + -3y = -5Z + 3y + -3y + 5yZ

Combine like terms: 8y + -3y = 5y
-3 + 5y = -5Z + 3y + -3y + 5yZ

Combine like terms: 3y + -3y = 0
-3 + 5y = -5Z + 0 + 5yZ
-3 + 5y = -5Z + 5yZ

Add '-5yZ' to each side of the equation.
-3 + 5y + -5yZ = -5Z + 5yZ + -5yZ

Combine like terms: 5yZ + -5yZ = 0
-3 + 5y + -5yZ = -5Z + 0
-3 + 5y + -5yZ = -5Z

Add '3' to each side of the equation.
-3 + 5y + 3 + -5yZ = 3 + -5Z

Reorder the terms:
-3 + 3 + 5y + -5yZ = 3 + -5Z

Combine like terms: -3 + 3 = 0
0 + 5y + -5yZ = 3 + -5Z
5y + -5yZ = 3 + -5Z

Reorder the terms:
-3 + 5Z + 5y + -5yZ = 3 + -5Z + -3 + 5Z

Reorder the terms:
-3 + 5Z + 5y + -5yZ = 3 + -3 + -5Z + 5Z

Combine like terms: 3 + -3 = 0
-3 + 5Z + 5y + -5yZ = 0 + -5Z + 5Z
-3 + 5Z + 5y + -5yZ = -5Z + 5Z

Combine like terms: -5Z + 5Z = 0
-3 + 5Z + 5y + -5yZ = 0

The solution to this equation could not be determined.

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