0.06(6y-3)+0.02y=0.10y-0.5

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Solution for 0.06(6y-3)+0.02y=0.10y-0.5 equation: 


Simplifying
0.06(6y + -3) + 0.02y = 0.10y + -0.5

Reorder the terms:
0.06(-3 + 6y) + 0.02y = 0.10y + -0.5
(-3 * 0.06 + 6y * 0.06) + 0.02y = 0.10y + -0.5
(-0.18 + 0.36y) + 0.02y = 0.10y + -0.5

Combine like terms: 0.36y + 0.02y = 0.38y
-0.18 + 0.38y = 0.10y + -0.5

Reorder the terms:
-0.18 + 0.38y = -0.5 + 0.10y

Solving
-0.18 + 0.38y = -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.
-0.18 + 0.38y + -0.10y = -0.5 + 0.10y + -0.10y

Combine like terms: 0.38y + -0.10y = 0.28y
-0.18 + 0.28y = -0.5 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.18 + 0.28y = -0.5 + 0.00
-0.18 + 0.28y = -0.5

Add '0.18' to each side of the equation.
-0.18 + 0.18 + 0.28y = -0.5 + 0.18

Combine like terms: -0.18 + 0.18 = 0.00
0.00 + 0.28y = -0.5 + 0.18
0.28y = -0.5 + 0.18

Combine like terms: -0.5 + 0.18 = -0.32
0.28y = -0.32

Divide each side by '0.28'.
y = -1.142857143

Simplifying
y = -1.142857143

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