0.06(y-6)+0.10Y=0.12Y-0.6

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Solution for 0.06(y-6)+0.10Y=0.12Y-0.6 equation: 


Simplifying
0.06(y + -6) + 0.10Y = 0.12Y + -0.6

Reorder the terms:
0.06(-6 + y) + 0.10Y = 0.12Y + -0.6
(-6 * 0.06 + y * 0.06) + 0.10Y = 0.12Y + -0.6
(-0.36 + 0.06y) + 0.10Y = 0.12Y + -0.6

Reorder the terms:
-0.36 + 0.10Y + 0.06y = 0.12Y + -0.6

Reorder the terms:
-0.36 + 0.10Y + 0.06y = -0.6 + 0.12Y

Solving
-0.36 + 0.10Y + 0.06y = -0.6 + 0.12Y

Solving for variable 'Y'.

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

Add '-0.12Y' to each side of the equation.
-0.36 + 0.10Y + -0.12Y + 0.06y = -0.6 + 0.12Y + -0.12Y

Combine like terms: 0.10Y + -0.12Y = -0.02Y
-0.36 + -0.02Y + 0.06y = -0.6 + 0.12Y + -0.12Y

Combine like terms: 0.12Y + -0.12Y = 0.00
-0.36 + -0.02Y + 0.06y = -0.6 + 0.00
-0.36 + -0.02Y + 0.06y = -0.6

Add '0.36' to each side of the equation.
-0.36 + -0.02Y + 0.36 + 0.06y = -0.6 + 0.36

Reorder the terms:
-0.36 + 0.36 + -0.02Y + 0.06y = -0.6 + 0.36

Combine like terms: -0.36 + 0.36 = 0.00
0.00 + -0.02Y + 0.06y = -0.6 + 0.36
-0.02Y + 0.06y = -0.6 + 0.36

Combine like terms: -0.6 + 0.36 = -0.24
-0.02Y + 0.06y = -0.24

Add '-0.06y' to each side of the equation.
-0.02Y + 0.06y + -0.06y = -0.24 + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-0.02Y + 0.00 = -0.24 + -0.06y
-0.02Y = -0.24 + -0.06y

Divide each side by '-0.02'.
Y = 12 + 3y

Simplifying
Y = 12 + 3y

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