31.82-2y=-4.5y+3.92

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Solution for 31.82-2y=-4.5y+3.92 equation: 


Simplifying
31.82 + -2y = -4.5y + 3.92

Reorder the terms:
31.82 + -2y = 3.92 + -4.5y

Solving
31.82 + -2y = 3.92 + -4.5y

Solving for variable 'y'.

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

Add '4.5y' to each side of the equation.
31.82 + -2y + 4.5y = 3.92 + -4.5y + 4.5y

Combine like terms: -2y + 4.5y = 2.5y
31.82 + 2.5y = 3.92 + -4.5y + 4.5y

Combine like terms: -4.5y + 4.5y = 0.0
31.82 + 2.5y = 3.92 + 0.0
31.82 + 2.5y = 3.92

Add '-31.82' to each side of the equation.
31.82 + -31.82 + 2.5y = 3.92 + -31.82

Combine like terms: 31.82 + -31.82 = 0.00
0.00 + 2.5y = 3.92 + -31.82
2.5y = 3.92 + -31.82

Combine like terms: 3.92 + -31.82 = -27.9
2.5y = -27.9

Divide each side by '2.5'.
y = -11.16

Simplifying
y = -11.16

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