.1(Y-5)+.14Y=.04Y-.2

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Solution for .1(Y-5)+.14Y=.04Y-.2 equation: 


Simplifying
0.1(Y + -5) + 0.14Y = 0.04Y + -0.2

Reorder the terms:
0.1(-5 + Y) + 0.14Y = 0.04Y + -0.2
(-5 * 0.1 + Y * 0.1) + 0.14Y = 0.04Y + -0.2
(-0.5 + 0.1Y) + 0.14Y = 0.04Y + -0.2

Combine like terms: 0.1Y + 0.14Y = 0.24Y
-0.5 + 0.24Y = 0.04Y + -0.2

Reorder the terms:
-0.5 + 0.24Y = -0.2 + 0.04Y

Solving
-0.5 + 0.24Y = -0.2 + 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.
-0.5 + 0.24Y + -0.04Y = -0.2 + 0.04Y + -0.04Y

Combine like terms: 0.24Y + -0.04Y = 0.2Y
-0.5 + 0.2Y = -0.2 + 0.04Y + -0.04Y

Combine like terms: 0.04Y + -0.04Y = 0.00
-0.5 + 0.2Y = -0.2 + 0.00
-0.5 + 0.2Y = -0.2

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.2Y = -0.2 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.2Y = -0.2 + 0.5
0.2Y = -0.2 + 0.5

Combine like terms: -0.2 + 0.5 = 0.3
0.2Y = 0.3

Divide each side by '0.2'.
Y = 1.5

Simplifying
Y = 1.5

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