2.2(0.5y+9)-3.1y=-0.2

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Solution for 2.2(0.5y+9)-3.1y=-0.2 equation: 


Simplifying
2.2(0.5y + 9) + -3.1y = -0.2

Reorder the terms:
2.2(9 + 0.5y) + -3.1y = -0.2
(9 * 2.2 + 0.5y * 2.2) + -3.1y = -0.2
(19.8 + 1.1y) + -3.1y = -0.2

Combine like terms: 1.1y + -3.1y = -2y
19.8 + -2y = -0.2

Solving
19.8 + -2y = -0.2

Solving for variable 'y'.

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

Add '-19.8' to each side of the equation.
19.8 + -19.8 + -2y = -0.2 + -19.8

Combine like terms: 19.8 + -19.8 = 0.0
0.0 + -2y = -0.2 + -19.8
-2y = -0.2 + -19.8

Combine like terms: -0.2 + -19.8 = -20
-2y = -20

Divide each side by '-2'.
y = 10

Simplifying
y = 10

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