0.02(Y-5)+0.10Y=0.04Y-0.01(40)

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Solution for 0.02(Y-5)+0.10Y=0.04Y-0.01(40) equation: 


Simplifying
0.02(Y + -5) + 0.10Y = 0.04Y + -0.01(40)

Reorder the terms:
0.02(-5 + Y) + 0.10Y = 0.04Y + -0.01(40)
(-5 * 0.02 + Y * 0.02) + 0.10Y = 0.04Y + -0.01(40)
(-0.1 + 0.02Y) + 0.10Y = 0.04Y + -0.01(40)

Combine like terms: 0.02Y + 0.10Y = 0.12Y
-0.1 + 0.12Y = 0.04Y + -0.01(40)

Multiply -0.01 * 40
-0.1 + 0.12Y = 0.04Y + -0.4

Reorder the terms:
-0.1 + 0.12Y = -0.4 + 0.04Y

Solving
-0.1 + 0.12Y = -0.4 + 0.04Y

Solving for variable 'Y'.

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

Add '-0.04Y' to each side of the equation.
-0.1 + 0.12Y + -0.04Y = -0.4 + 0.04Y + -0.04Y

Combine like terms: 0.12Y + -0.04Y = 0.08Y
-0.1 + 0.08Y = -0.4 + 0.04Y + -0.04Y

Combine like terms: 0.04Y + -0.04Y = 0.00
-0.1 + 0.08Y = -0.4 + 0.00
-0.1 + 0.08Y = -0.4

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 0.08Y = -0.4 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 0.08Y = -0.4 + 0.1
0.08Y = -0.4 + 0.1

Combine like terms: -0.4 + 0.1 = -0.3
0.08Y = -0.3

Divide each side by '0.08'.
Y = -3.75

Simplifying
Y = -3.75

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