0.02(y-8)+0.12y=0.04y-0.5

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Solution for 0.02(y-8)+0.12y=0.04y-0.5 equation: 


Simplifying
0.02(y + -8) + 0.12y = 0.04y + -0.5

Reorder the terms:
0.02(-8 + y) + 0.12y = 0.04y + -0.5
(-8 * 0.02 + y * 0.02) + 0.12y = 0.04y + -0.5
(-0.16 + 0.02y) + 0.12y = 0.04y + -0.5

Combine like terms: 0.02y + 0.12y = 0.14y
-0.16 + 0.14y = 0.04y + -0.5

Reorder the terms:
-0.16 + 0.14y = -0.5 + 0.04y

Solving
-0.16 + 0.14y = -0.5 + 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.
-0.16 + 0.14y + -0.04y = -0.5 + 0.04y + -0.04y

Combine like terms: 0.14y + -0.04y = 0.1y
-0.16 + 0.1y = -0.5 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-0.16 + 0.1y = -0.5 + 0.00
-0.16 + 0.1y = -0.5

Add '0.16' to each side of the equation.
-0.16 + 0.16 + 0.1y = -0.5 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + 0.1y = -0.5 + 0.16
0.1y = -0.5 + 0.16

Combine like terms: -0.5 + 0.16 = -0.34
0.1y = -0.34

Divide each side by '0.1'.
y = -3.4

Simplifying
y = -3.4

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