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

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Solution for 0.04(y-8)+0.20y=0.06y-0.5 equation: 


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

Reorder the terms:
0.04(-8 + y) + 0.20y = 0.06y + -0.5
(-8 * 0.04 + y * 0.04) + 0.20y = 0.06y + -0.5
(-0.32 + 0.04y) + 0.20y = 0.06y + -0.5

Combine like terms: 0.04y + 0.20y = 0.24y
-0.32 + 0.24y = 0.06y + -0.5

Reorder the terms:
-0.32 + 0.24y = -0.5 + 0.06y

Solving
-0.32 + 0.24y = -0.5 + 0.06y

Solving for variable 'y'.

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

Add '-0.06y' to each side of the equation.
-0.32 + 0.24y + -0.06y = -0.5 + 0.06y + -0.06y

Combine like terms: 0.24y + -0.06y = 0.18y
-0.32 + 0.18y = -0.5 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-0.32 + 0.18y = -0.5 + 0.00
-0.32 + 0.18y = -0.5

Add '0.32' to each side of the equation.
-0.32 + 0.32 + 0.18y = -0.5 + 0.32

Combine like terms: -0.32 + 0.32 = 0.00
0.00 + 0.18y = -0.5 + 0.32
0.18y = -0.5 + 0.32

Combine like terms: -0.5 + 0.32 = -0.18
0.18y = -0.18

Divide each side by '0.18'.
y = -1

Simplifying
y = -1

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