.02(y-1)+.14y=.08y-.5

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Solution for .02(y-1)+.14y=.08y-.5 equation: 


Simplifying
0.02(y + -1) + 0.14y = 0.08y + -0.5

Reorder the terms:
0.02(-1 + y) + 0.14y = 0.08y + -0.5
(-1 * 0.02 + y * 0.02) + 0.14y = 0.08y + -0.5
(-0.02 + 0.02y) + 0.14y = 0.08y + -0.5

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

Reorder the terms:
-0.02 + 0.16y = -0.5 + 0.08y

Solving
-0.02 + 0.16y = -0.5 + 0.08y

Solving for variable 'y'.

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

Add '-0.08y' to each side of the equation.
-0.02 + 0.16y + -0.08y = -0.5 + 0.08y + -0.08y

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

Combine like terms: 0.08y + -0.08y = 0.00
-0.02 + 0.08y = -0.5 + 0.00
-0.02 + 0.08y = -0.5

Add '0.02' to each side of the equation.
-0.02 + 0.02 + 0.08y = -0.5 + 0.02

Combine like terms: -0.02 + 0.02 = 0.00
0.00 + 0.08y = -0.5 + 0.02
0.08y = -0.5 + 0.02

Combine like terms: -0.5 + 0.02 = -0.48
0.08y = -0.48

Divide each side by '0.08'.
y = -6

Simplifying
y = -6

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