.04(y-2)+.16y=.14y-.5

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Solution for .04(y-2)+.16y=.14y-.5 equation: 


Simplifying
0.04(y + -2) + 0.16y = 0.14y + -0.5

Reorder the terms:
0.04(-2 + y) + 0.16y = 0.14y + -0.5
(-2 * 0.04 + y * 0.04) + 0.16y = 0.14y + -0.5
(-0.08 + 0.04y) + 0.16y = 0.14y + -0.5

Combine like terms: 0.04y + 0.16y = 0.2y
-0.08 + 0.2y = 0.14y + -0.5

Reorder the terms:
-0.08 + 0.2y = -0.5 + 0.14y

Solving
-0.08 + 0.2y = -0.5 + 0.14y

Solving for variable 'y'.

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

Add '-0.14y' to each side of the equation.
-0.08 + 0.2y + -0.14y = -0.5 + 0.14y + -0.14y

Combine like terms: 0.2y + -0.14y = 0.06y
-0.08 + 0.06y = -0.5 + 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
-0.08 + 0.06y = -0.5 + 0.00
-0.08 + 0.06y = -0.5

Add '0.08' to each side of the equation.
-0.08 + 0.08 + 0.06y = -0.5 + 0.08

Combine like terms: -0.08 + 0.08 = 0.00
0.00 + 0.06y = -0.5 + 0.08
0.06y = -0.5 + 0.08

Combine like terms: -0.5 + 0.08 = -0.42
0.06y = -0.42

Divide each side by '0.06'.
y = -7

Simplifying
y = -7

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