0.04(y-8)+0.16y=0.10y-0.05(20)

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Solution for 0.04(y-8)+0.16y=0.10y-0.05(20) equation: 


Simplifying
0.04(y + -8) + 0.16y = 0.10y + -0.05(20)

Reorder the terms:
0.04(-8 + y) + 0.16y = 0.10y + -0.05(20)
(-8 * 0.04 + y * 0.04) + 0.16y = 0.10y + -0.05(20)
(-0.32 + 0.04y) + 0.16y = 0.10y + -0.05(20)

Combine like terms: 0.04y + 0.16y = 0.2y
-0.32 + 0.2y = 0.10y + -0.05(20)

Multiply -0.05 * 20
-0.32 + 0.2y = 0.10y + -1

Reorder the terms:
-0.32 + 0.2y = -1 + 0.10y

Solving
-0.32 + 0.2y = -1 + 0.10y

Solving for variable 'y'.

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

Add '-0.10y' to each side of the equation.
-0.32 + 0.2y + -0.10y = -1 + 0.10y + -0.10y

Combine like terms: 0.2y + -0.10y = 0.1y
-0.32 + 0.1y = -1 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.32 + 0.1y = -1 + 0.00
-0.32 + 0.1y = -1

Add '0.32' to each side of the equation.
-0.32 + 0.32 + 0.1y = -1 + 0.32

Combine like terms: -0.32 + 0.32 = 0.00
0.00 + 0.1y = -1 + 0.32
0.1y = -1 + 0.32

Combine like terms: -1 + 0.32 = -0.68
0.1y = -0.68

Divide each side by '0.1'.
y = -6.8

Simplifying
y = -6.8

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