0.1y+0.5(21.6-y)=-12.3

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Solution for 0.1y+0.5(21.6-y)=-12.3 equation: 


Simplifying
0.1y + 0.5(21.6 + -1y) = -12.3
0.1y + (21.6 * 0.5 + -1y * 0.5) = -12.3
0.1y + (10.8 + -0.5y) = -12.3

Reorder the terms:
10.8 + 0.1y + -0.5y = -12.3

Combine like terms: 0.1y + -0.5y = -0.4y
10.8 + -0.4y = -12.3

Solving
10.8 + -0.4y = -12.3

Solving for variable 'y'.

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

Add '-10.8' to each side of the equation.
10.8 + -10.8 + -0.4y = -12.3 + -10.8

Combine like terms: 10.8 + -10.8 = 0.0
0.0 + -0.4y = -12.3 + -10.8
-0.4y = -12.3 + -10.8

Combine like terms: -12.3 + -10.8 = -23.1
-0.4y = -23.1

Divide each side by '-0.4'.
y = 57.75

Simplifying
y = 57.75

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