0.12(y-6)+0.16=0.04y-1.2

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Solution for 0.12(y-6)+0.16=0.04y-1.2 equation: 


Simplifying
0.12(y + -6) + 0.16 = 0.04y + -1.2

Reorder the terms:
0.12(-6 + y) + 0.16 = 0.04y + -1.2
(-6 * 0.12 + y * 0.12) + 0.16 = 0.04y + -1.2
(-0.72 + 0.12y) + 0.16 = 0.04y + -1.2

Reorder the terms:
-0.72 + 0.16 + 0.12y = 0.04y + -1.2

Combine like terms: -0.72 + 0.16 = -0.56
-0.56 + 0.12y = 0.04y + -1.2

Reorder the terms:
-0.56 + 0.12y = -1.2 + 0.04y

Solving
-0.56 + 0.12y = -1.2 + 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.
-0.56 + 0.12y + -0.04y = -1.2 + 0.04y + -0.04y

Combine like terms: 0.12y + -0.04y = 0.08y
-0.56 + 0.08y = -1.2 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-0.56 + 0.08y = -1.2 + 0.00
-0.56 + 0.08y = -1.2

Add '0.56' to each side of the equation.
-0.56 + 0.56 + 0.08y = -1.2 + 0.56

Combine like terms: -0.56 + 0.56 = 0.00
0.00 + 0.08y = -1.2 + 0.56
0.08y = -1.2 + 0.56

Combine like terms: -1.2 + 0.56 = -0.64
0.08y = -0.64

Divide each side by '0.08'.
y = -8

Simplifying
y = -8

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