0.14(y-3)+0.06y=0.10y-0.5

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Solution for 0.14(y-3)+0.06y=0.10y-0.5 equation: 


Simplifying
0.14(y + -3) + 0.06y = 0.10y + -0.5

Reorder the terms:
0.14(-3 + y) + 0.06y = 0.10y + -0.5
(-3 * 0.14 + y * 0.14) + 0.06y = 0.10y + -0.5
(-0.42 + 0.14y) + 0.06y = 0.10y + -0.5

Combine like terms: 0.14y + 0.06y = 0.2y
-0.42 + 0.2y = 0.10y + -0.5

Reorder the terms:
-0.42 + 0.2y = -0.5 + 0.10y

Solving
-0.42 + 0.2y = -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.
-0.42 + 0.2y + -0.10y = -0.5 + 0.10y + -0.10y

Combine like terms: 0.2y + -0.10y = 0.1y
-0.42 + 0.1y = -0.5 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.42 + 0.1y = -0.5 + 0.00
-0.42 + 0.1y = -0.5

Add '0.42' to each side of the equation.
-0.42 + 0.42 + 0.1y = -0.5 + 0.42

Combine like terms: -0.42 + 0.42 = 0.00
0.00 + 0.1y = -0.5 + 0.42
0.1y = -0.5 + 0.42

Combine like terms: -0.5 + 0.42 = -0.08
0.1y = -0.08

Divide each side by '0.1'.
y = -0.8

Simplifying
y = -0.8

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