0.02(y-8)+0.08y=0.12y-0.2

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Solution for 0.02(y-8)+0.08y=0.12y-0.2 equation: 


Simplifying
0.02(y + -8) + 0.08y = 0.12y + -0.2

Reorder the terms:
0.02(-8 + y) + 0.08y = 0.12y + -0.2
(-8 * 0.02 + y * 0.02) + 0.08y = 0.12y + -0.2
(-0.16 + 0.02y) + 0.08y = 0.12y + -0.2

Combine like terms: 0.02y + 0.08y = 0.1y
-0.16 + 0.1y = 0.12y + -0.2

Reorder the terms:
-0.16 + 0.1y = -0.2 + 0.12y

Solving
-0.16 + 0.1y = -0.2 + 0.12y

Solving for variable 'y'.

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

Add '-0.12y' to each side of the equation.
-0.16 + 0.1y + -0.12y = -0.2 + 0.12y + -0.12y

Combine like terms: 0.1y + -0.12y = -0.02y
-0.16 + -0.02y = -0.2 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-0.16 + -0.02y = -0.2 + 0.00
-0.16 + -0.02y = -0.2

Add '0.16' to each side of the equation.
-0.16 + 0.16 + -0.02y = -0.2 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + -0.02y = -0.2 + 0.16
-0.02y = -0.2 + 0.16

Combine like terms: -0.2 + 0.16 = -0.04
-0.02y = -0.04

Divide each side by '-0.02'.
y = 2

Simplifying
y = 2

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