014(Y-2)+0.18Y=0.02Y-0.05(20)

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Solution for 014(Y-2)+0.18Y=0.02Y-0.05(20) equation:


Simplifying
14(Y + -2) + 0.18Y = 0.02Y + -0.05(20)

Reorder the terms:
14(-2 + Y) + 0.18Y = 0.02Y + -0.05(20)
(-2 * 14 + Y * 14) + 0.18Y = 0.02Y + -0.05(20)
(-28 + 14Y) + 0.18Y = 0.02Y + -0.05(20)

Combine like terms: 14Y + 0.18Y = 14.18Y
-28 + 14.18Y = 0.02Y + -0.05(20)

Multiply -0.05 * 20
-28 + 14.18Y = 0.02Y + -1

Reorder the terms:
-28 + 14.18Y = -1 + 0.02Y

Solving
-28 + 14.18Y = -1 + 0.02Y

Solving for variable 'Y'.

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

Add '-0.02Y' to each side of the equation.
-28 + 14.18Y + -0.02Y = -1 + 0.02Y + -0.02Y

Combine like terms: 14.18Y + -0.02Y = 14.16Y
-28 + 14.16Y = -1 + 0.02Y + -0.02Y

Combine like terms: 0.02Y + -0.02Y = 0.00
-28 + 14.16Y = -1 + 0.00
-28 + 14.16Y = -1

Add '28' to each side of the equation.
-28 + 28 + 14.16Y = -1 + 28

Combine like terms: -28 + 28 = 0
0 + 14.16Y = -1 + 28
14.16Y = -1 + 28

Combine like terms: -1 + 28 = 27
14.16Y = 27

Divide each side by '14.16'.
Y = 1.906779661

Simplifying
Y = 1.906779661

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