.33Y+11=.5Y-3

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Solution for .33Y+11=.5Y-3 equation: 


Simplifying
0.33Y + 11 = 0.5Y + -3

Reorder the terms:
11 + 0.33Y = 0.5Y + -3

Reorder the terms:
11 + 0.33Y = -3 + 0.5Y

Solving
11 + 0.33Y = -3 + 0.5Y

Solving for variable 'Y'.

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

Add '-0.5Y' to each side of the equation.
11 + 0.33Y + -0.5Y = -3 + 0.5Y + -0.5Y

Combine like terms: 0.33Y + -0.5Y = -0.17Y
11 + -0.17Y = -3 + 0.5Y + -0.5Y

Combine like terms: 0.5Y + -0.5Y = 0.0
11 + -0.17Y = -3 + 0.0
11 + -0.17Y = -3

Add '-11' to each side of the equation.
11 + -11 + -0.17Y = -3 + -11

Combine like terms: 11 + -11 = 0
0 + -0.17Y = -3 + -11
-0.17Y = -3 + -11

Combine like terms: -3 + -11 = -14
-0.17Y = -14

Divide each side by '-0.17'.
Y = 82.35294118

Simplifying
Y = 82.35294118

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