.20(y-8)+.16=.04y-2

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Solution for .20(y-8)+.16=.04y-2 equation: 


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

Reorder the terms:
0.20(-8 + y) + 0.16 = 0.04y + -2
(-8 * 0.20 + y * 0.20) + 0.16 = 0.04y + -2
(-1.6 + 0.20y) + 0.16 = 0.04y + -2

Reorder the terms:
-1.6 + 0.16 + 0.20y = 0.04y + -2

Combine like terms: -1.6 + 0.16 = -1.44
-1.44 + 0.20y = 0.04y + -2

Reorder the terms:
-1.44 + 0.20y = -2 + 0.04y

Solving
-1.44 + 0.20y = -2 + 0.04y

Solving for variable 'y'.

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

Add '-0.04y' to each side of the equation.
-1.44 + 0.20y + -0.04y = -2 + 0.04y + -0.04y

Combine like terms: 0.20y + -0.04y = 0.16y
-1.44 + 0.16y = -2 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-1.44 + 0.16y = -2 + 0.00
-1.44 + 0.16y = -2

Add '1.44' to each side of the equation.
-1.44 + 1.44 + 0.16y = -2 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 0.16y = -2 + 1.44
0.16y = -2 + 1.44

Combine like terms: -2 + 1.44 = -0.56
0.16y = -0.56

Divide each side by '0.16'.
y = -3.5

Simplifying
y = -3.5

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