0.16(y-8)+0.04y=0.10y-2

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Solution for 0.16(y-8)+0.04y=0.10y-2 equation: 


Simplifying
0.16(y + -8) + 0.04y = 0.10y + -2

Reorder the terms:
0.16(-8 + y) + 0.04y = 0.10y + -2
(-8 * 0.16 + y * 0.16) + 0.04y = 0.10y + -2
(-1.28 + 0.16y) + 0.04y = 0.10y + -2

Combine like terms: 0.16y + 0.04y = 0.2y
-1.28 + 0.2y = 0.10y + -2

Reorder the terms:
-1.28 + 0.2y = -2 + 0.10y

Solving
-1.28 + 0.2y = -2 + 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.
-1.28 + 0.2y + -0.10y = -2 + 0.10y + -0.10y

Combine like terms: 0.2y + -0.10y = 0.1y
-1.28 + 0.1y = -2 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-1.28 + 0.1y = -2 + 0.00
-1.28 + 0.1y = -2

Add '1.28' to each side of the equation.
-1.28 + 1.28 + 0.1y = -2 + 1.28

Combine like terms: -1.28 + 1.28 = 0.00
0.00 + 0.1y = -2 + 1.28
0.1y = -2 + 1.28

Combine like terms: -2 + 1.28 = -0.72
0.1y = -0.72

Divide each side by '0.1'.
y = -7.2

Simplifying
y = -7.2

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