0.18(Y-2)+0.04Y=0.20Y-0.01(40)

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Solution for 0.18(Y-2)+0.04Y=0.20Y-0.01(40) equation:


Simplifying
0.18(Y + -2) + 0.04Y = 0.20Y + -0.01(40)

Reorder the terms:
0.18(-2 + Y) + 0.04Y = 0.20Y + -0.01(40)
(-2 * 0.18 + Y * 0.18) + 0.04Y = 0.20Y + -0.01(40)
(-0.36 + 0.18Y) + 0.04Y = 0.20Y + -0.01(40)

Combine like terms: 0.18Y + 0.04Y = 0.22Y
-0.36 + 0.22Y = 0.20Y + -0.01(40)

Multiply -0.01 * 40
-0.36 + 0.22Y = 0.20Y + -0.4

Reorder the terms:
-0.36 + 0.22Y = -0.4 + 0.20Y

Solving
-0.36 + 0.22Y = -0.4 + 0.20Y

Solving for variable 'Y'.

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

Add '-0.20Y' to each side of the equation.
-0.36 + 0.22Y + -0.20Y = -0.4 + 0.20Y + -0.20Y

Combine like terms: 0.22Y + -0.20Y = 0.02Y
-0.36 + 0.02Y = -0.4 + 0.20Y + -0.20Y

Combine like terms: 0.20Y + -0.20Y = 0.00
-0.36 + 0.02Y = -0.4 + 0.00
-0.36 + 0.02Y = -0.4

Add '0.36' to each side of the equation.
-0.36 + 0.36 + 0.02Y = -0.4 + 0.36

Combine like terms: -0.36 + 0.36 = 0.00
0.00 + 0.02Y = -0.4 + 0.36
0.02Y = -0.4 + 0.36

Combine like terms: -0.4 + 0.36 = -0.04
0.02Y = -0.04

Divide each side by '0.02'.
Y = -2

Simplifying
Y = -2

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