0.16(y-6)+0.04y=0.12y-0.5

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Solution for 0.16(y-6)+0.04y=0.12y-0.5 equation: 


Simplifying
0.16(y + -6) + 0.04y = 0.12y + -0.5

Reorder the terms:
0.16(-6 + y) + 0.04y = 0.12y + -0.5
(-6 * 0.16 + y * 0.16) + 0.04y = 0.12y + -0.5
(-0.96 + 0.16y) + 0.04y = 0.12y + -0.5

Combine like terms: 0.16y + 0.04y = 0.2y
-0.96 + 0.2y = 0.12y + -0.5

Reorder the terms:
-0.96 + 0.2y = -0.5 + 0.12y

Solving
-0.96 + 0.2y = -0.5 + 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.
-0.96 + 0.2y + -0.12y = -0.5 + 0.12y + -0.12y

Combine like terms: 0.2y + -0.12y = 0.08y
-0.96 + 0.08y = -0.5 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-0.96 + 0.08y = -0.5 + 0.00
-0.96 + 0.08y = -0.5

Add '0.96' to each side of the equation.
-0.96 + 0.96 + 0.08y = -0.5 + 0.96

Combine like terms: -0.96 + 0.96 = 0.00
0.00 + 0.08y = -0.5 + 0.96
0.08y = -0.5 + 0.96

Combine like terms: -0.5 + 0.96 = 0.46
0.08y = 0.46

Divide each side by '0.08'.
y = 5.75

Simplifying
y = 5.75

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