0.05(y-8)+0.53y=0.08y-0.20

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Solution for 0.05(y-8)+0.53y=0.08y-0.20 equation: 


Simplifying
0.05(y + -8) + 0.53y = 0.08y + -0.20

Reorder the terms:
0.05(-8 + y) + 0.53y = 0.08y + -0.20
(-8 * 0.05 + y * 0.05) + 0.53y = 0.08y + -0.20
(-0.4 + 0.05y) + 0.53y = 0.08y + -0.20

Combine like terms: 0.05y + 0.53y = 0.58y
-0.4 + 0.58y = 0.08y + -0.20

Reorder the terms:
-0.4 + 0.58y = -0.20 + 0.08y

Solving
-0.4 + 0.58y = -0.20 + 0.08y

Solving for variable 'y'.

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

Add '-0.08y' to each side of the equation.
-0.4 + 0.58y + -0.08y = -0.20 + 0.08y + -0.08y

Combine like terms: 0.58y + -0.08y = 0.5y
-0.4 + 0.5y = -0.20 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
-0.4 + 0.5y = -0.20 + 0.00
-0.4 + 0.5y = -0.20

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.5y = -0.20 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.5y = -0.20 + 0.4
0.5y = -0.20 + 0.4

Combine like terms: -0.20 + 0.4 = 0.2
0.5y = 0.2

Divide each side by '0.5'.
y = 0.4

Simplifying
y = 0.4

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