0.04(y-6)+0.20y=0.16y-0.5

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Solution for 0.04(y-6)+0.20y=0.16y-0.5 equation: 


Simplifying
0.04(y + -6) + 0.20y = 0.16y + -0.5

Reorder the terms:
0.04(-6 + y) + 0.20y = 0.16y + -0.5
(-6 * 0.04 + y * 0.04) + 0.20y = 0.16y + -0.5
(-0.24 + 0.04y) + 0.20y = 0.16y + -0.5

Combine like terms: 0.04y + 0.20y = 0.24y
-0.24 + 0.24y = 0.16y + -0.5

Reorder the terms:
-0.24 + 0.24y = -0.5 + 0.16y

Solving
-0.24 + 0.24y = -0.5 + 0.16y

Solving for variable 'y'.

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

Add '-0.16y' to each side of the equation.
-0.24 + 0.24y + -0.16y = -0.5 + 0.16y + -0.16y

Combine like terms: 0.24y + -0.16y = 0.08y
-0.24 + 0.08y = -0.5 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-0.24 + 0.08y = -0.5 + 0.00
-0.24 + 0.08y = -0.5

Add '0.24' to each side of the equation.
-0.24 + 0.24 + 0.08y = -0.5 + 0.24

Combine like terms: -0.24 + 0.24 = 0.00
0.00 + 0.08y = -0.5 + 0.24
0.08y = -0.5 + 0.24

Combine like terms: -0.5 + 0.24 = -0.26
0.08y = -0.26

Divide each side by '0.08'.
y = -3.25

Simplifying
y = -3.25

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