0.04(Y-2)+0.06Y=0.18Y-0.05(10)

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Solution for 0.04(Y-2)+0.06Y=0.18Y-0.05(10) equation: 


Simplifying
0.04(Y + -2) + 0.06Y = 0.18Y + -0.05(10)

Reorder the terms:
0.04(-2 + Y) + 0.06Y = 0.18Y + -0.05(10)
(-2 * 0.04 + Y * 0.04) + 0.06Y = 0.18Y + -0.05(10)
(-0.08 + 0.04Y) + 0.06Y = 0.18Y + -0.05(10)

Combine like terms: 0.04Y + 0.06Y = 0.1Y
-0.08 + 0.1Y = 0.18Y + -0.05(10)

Multiply -0.05 * 10
-0.08 + 0.1Y = 0.18Y + -0.5

Reorder the terms:
-0.08 + 0.1Y = -0.5 + 0.18Y

Solving
-0.08 + 0.1Y = -0.5 + 0.18Y

Solving for variable 'Y'.

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

Add '-0.18Y' to each side of the equation.
-0.08 + 0.1Y + -0.18Y = -0.5 + 0.18Y + -0.18Y

Combine like terms: 0.1Y + -0.18Y = -0.08Y
-0.08 + -0.08Y = -0.5 + 0.18Y + -0.18Y

Combine like terms: 0.18Y + -0.18Y = 0.00
-0.08 + -0.08Y = -0.5 + 0.00
-0.08 + -0.08Y = -0.5

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

Combine like terms: -0.08 + 0.08 = 0.00
0.00 + -0.08Y = -0.5 + 0.08
-0.08Y = -0.5 + 0.08

Combine like terms: -0.5 + 0.08 = -0.42
-0.08Y = -0.42

Divide each side by '-0.08'.
Y = 5.25

Simplifying
Y = 5.25

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