0.13(y-5)+0.41y=0.04y-0.50

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Solution for 0.13(y-5)+0.41y=0.04y-0.50 equation: 


Simplifying
0.13(y + -5) + 0.41y = 0.04y + -0.50

Reorder the terms:
0.13(-5 + y) + 0.41y = 0.04y + -0.50
(-5 * 0.13 + y * 0.13) + 0.41y = 0.04y + -0.50
(-0.65 + 0.13y) + 0.41y = 0.04y + -0.50

Combine like terms: 0.13y + 0.41y = 0.54y
-0.65 + 0.54y = 0.04y + -0.50

Reorder the terms:
-0.65 + 0.54y = -0.50 + 0.04y

Solving
-0.65 + 0.54y = -0.50 + 0.04y

Solving for variable 'y'.

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

Add '-0.04y' to each side of the equation.
-0.65 + 0.54y + -0.04y = -0.50 + 0.04y + -0.04y

Combine like terms: 0.54y + -0.04y = 0.5y
-0.65 + 0.5y = -0.50 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-0.65 + 0.5y = -0.50 + 0.00
-0.65 + 0.5y = -0.50

Add '0.65' to each side of the equation.
-0.65 + 0.65 + 0.5y = -0.50 + 0.65

Combine like terms: -0.65 + 0.65 = 0.00
0.00 + 0.5y = -0.50 + 0.65
0.5y = -0.50 + 0.65

Combine like terms: -0.50 + 0.65 = 0.15
0.5y = 0.15

Divide each side by '0.5'.
y = 0.3

Simplifying
y = 0.3

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