12.5(3-y)-16=y-5.5

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Solution for 12.5(3-y)-16=y-5.5 equation: 


Simplifying
12.5(3 + -1y) + -16 = y + -5.5
(3 * 12.5 + -1y * 12.5) + -16 = y + -5.5
(37.5 + -12.5y) + -16 = y + -5.5

Reorder the terms:
37.5 + -16 + -12.5y = y + -5.5

Combine like terms: 37.5 + -16 = 21.5
21.5 + -12.5y = y + -5.5

Reorder the terms:
21.5 + -12.5y = -5.5 + y

Solving
21.5 + -12.5y = -5.5 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
21.5 + -12.5y + -1y = -5.5 + y + -1y

Combine like terms: -12.5y + -1y = -13.5y
21.5 + -13.5y = -5.5 + y + -1y

Combine like terms: y + -1y = 0
21.5 + -13.5y = -5.5 + 0
21.5 + -13.5y = -5.5

Add '-21.5' to each side of the equation.
21.5 + -21.5 + -13.5y = -5.5 + -21.5

Combine like terms: 21.5 + -21.5 = 0.0
0.0 + -13.5y = -5.5 + -21.5
-13.5y = -5.5 + -21.5

Combine like terms: -5.5 + -21.5 = -27
-13.5y = -27

Divide each side by '-13.5'.
y = 2

Simplifying
y = 2

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