0.04(y-6)+0.16y=0.12y-0.9

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Solution for 0.04(y-6)+0.16y=0.12y-0.9 equation: 


Simplifying
0.04(y + -6) + 0.16y = 0.12y + -0.9

Reorder the terms:
0.04(-6 + y) + 0.16y = 0.12y + -0.9
(-6 * 0.04 + y * 0.04) + 0.16y = 0.12y + -0.9
(-0.24 + 0.04y) + 0.16y = 0.12y + -0.9

Combine like terms: 0.04y + 0.16y = 0.2y
-0.24 + 0.2y = 0.12y + -0.9

Reorder the terms:
-0.24 + 0.2y = -0.9 + 0.12y

Solving
-0.24 + 0.2y = -0.9 + 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.
-0.24 + 0.2y + -0.12y = -0.9 + 0.12y + -0.12y

Combine like terms: 0.2y + -0.12y = 0.08y
-0.24 + 0.08y = -0.9 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-0.24 + 0.08y = -0.9 + 0.00
-0.24 + 0.08y = -0.9

Add '0.24' to each side of the equation.
-0.24 + 0.24 + 0.08y = -0.9 + 0.24

Combine like terms: -0.24 + 0.24 = 0.00
0.00 + 0.08y = -0.9 + 0.24
0.08y = -0.9 + 0.24

Combine like terms: -0.9 + 0.24 = -0.66
0.08y = -0.66

Divide each side by '0.08'.
y = -8.25

Simplifying
y = -8.25

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