28.5=-4.5+9.5(y-5.5)

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Solution for 28.5=-4.5+9.5(y-5.5) equation: 


Simplifying
28.5 = -4.5 + 9.5(y + -5.5)

Reorder the terms:
28.5 = -4.5 + 9.5(-5.5 + y)
28.5 = -4.5 + (-5.5 * 9.5 + y * 9.5)
28.5 = -4.5 + (-52.25 + 9.5y)

Combine like terms: -4.5 + -52.25 = -56.75
28.5 = -56.75 + 9.5y

Solving
28.5 = -56.75 + 9.5y

Solving for variable 'y'.

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

Add '-9.5y' to each side of the equation.
28.5 + -9.5y = -56.75 + 9.5y + -9.5y

Combine like terms: 9.5y + -9.5y = 0.0
28.5 + -9.5y = -56.75 + 0.0
28.5 + -9.5y = -56.75

Add '-28.5' to each side of the equation.
28.5 + -28.5 + -9.5y = -56.75 + -28.5

Combine like terms: 28.5 + -28.5 = 0.0
0.0 + -9.5y = -56.75 + -28.5
-9.5y = -56.75 + -28.5

Combine like terms: -56.75 + -28.5 = -85.25
-9.5y = -85.25

Divide each side by '-9.5'.
y = 8.973684211

Simplifying
y = 8.973684211

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