.02(y-4)+.14y=.10y-.5

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Solution for .02(y-4)+.14y=.10y-.5 equation: 


Simplifying
0.02(y + -4) + 0.14y = 0.10y + -0.5

Reorder the terms:
0.02(-4 + y) + 0.14y = 0.10y + -0.5
(-4 * 0.02 + y * 0.02) + 0.14y = 0.10y + -0.5
(-0.08 + 0.02y) + 0.14y = 0.10y + -0.5

Combine like terms: 0.02y + 0.14y = 0.16y
-0.08 + 0.16y = 0.10y + -0.5

Reorder the terms:
-0.08 + 0.16y = -0.5 + 0.10y

Solving
-0.08 + 0.16y = -0.5 + 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.
-0.08 + 0.16y + -0.10y = -0.5 + 0.10y + -0.10y

Combine like terms: 0.16y + -0.10y = 0.06y
-0.08 + 0.06y = -0.5 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 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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