0.10(y-8)+0.06y=0.20y-0.5

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Solution for 0.10(y-8)+0.06y=0.20y-0.5 equation: 


Simplifying
0.10(y + -8) + 0.06y = 0.20y + -0.5

Reorder the terms:
0.10(-8 + y) + 0.06y = 0.20y + -0.5
(-8 * 0.10 + y * 0.10) + 0.06y = 0.20y + -0.5
(-0.8 + 0.10y) + 0.06y = 0.20y + -0.5

Combine like terms: 0.10y + 0.06y = 0.16y
-0.8 + 0.16y = 0.20y + -0.5

Reorder the terms:
-0.8 + 0.16y = -0.5 + 0.20y

Solving
-0.8 + 0.16y = -0.5 + 0.20y

Solving for variable 'y'.

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

Add '-0.20y' to each side of the equation.
-0.8 + 0.16y + -0.20y = -0.5 + 0.20y + -0.20y

Combine like terms: 0.16y + -0.20y = -0.04y
-0.8 + -0.04y = -0.5 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.8 + -0.04y = -0.5 + 0.00
-0.8 + -0.04y = -0.5

Add '0.8' to each side of the equation.
-0.8 + 0.8 + -0.04y = -0.5 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + -0.04y = -0.5 + 0.8
-0.04y = -0.5 + 0.8

Combine like terms: -0.5 + 0.8 = 0.3
-0.04y = 0.3

Divide each side by '-0.04'.
y = -7.5

Simplifying
y = -7.5

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