171=4.5(8-zy)

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Solution for 171=4.5(8-zy) equation:


Simplifying
171 = 4.5(8 + -1zy)
171 = (8 * 4.5 + -1yz * 4.5)
171 = (36 + -4.5yz)

Solving
171 = 36 + -4.5yz

Solving for variable 'y'.

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

Add '4.5yz' to each side of the equation.
171 + 4.5yz = 36 + -4.5yz + 4.5yz

Combine like terms: -4.5yz + 4.5yz = 0.0
171 + 4.5yz = 36 + 0.0
171 + 4.5yz = 36

Add '-171' to each side of the equation.
171 + -171 + 4.5yz = 36 + -171

Combine like terms: 171 + -171 = 0
0 + 4.5yz = 36 + -171
4.5yz = 36 + -171

Combine like terms: 36 + -171 = -135
4.5yz = -135

Divide each side by '4.5z'.
y = -30z-1

Simplifying
y = -30z-1

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