.14(Y-3)+.06Y=.16Y-.1

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Solution for .14(Y-3)+.06Y=.16Y-.1 equation: 


Simplifying
0.14(Y + -3) + 0.06Y = 0.16Y + -0.1

Reorder the terms:
0.14(-3 + Y) + 0.06Y = 0.16Y + -0.1
(-3 * 0.14 + Y * 0.14) + 0.06Y = 0.16Y + -0.1
(-0.42 + 0.14Y) + 0.06Y = 0.16Y + -0.1

Combine like terms: 0.14Y + 0.06Y = 0.2Y
-0.42 + 0.2Y = 0.16Y + -0.1

Reorder the terms:
-0.42 + 0.2Y = -0.1 + 0.16Y

Solving
-0.42 + 0.2Y = -0.1 + 0.16Y

Solving for variable 'Y'.

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

Add '-0.16Y' to each side of the equation.
-0.42 + 0.2Y + -0.16Y = -0.1 + 0.16Y + -0.16Y

Combine like terms: 0.2Y + -0.16Y = 0.04Y
-0.42 + 0.04Y = -0.1 + 0.16Y + -0.16Y

Combine like terms: 0.16Y + -0.16Y = 0.00
-0.42 + 0.04Y = -0.1 + 0.00
-0.42 + 0.04Y = -0.1

Add '0.42' to each side of the equation.
-0.42 + 0.42 + 0.04Y = -0.1 + 0.42

Combine like terms: -0.42 + 0.42 = 0.00
0.00 + 0.04Y = -0.1 + 0.42
0.04Y = -0.1 + 0.42

Combine like terms: -0.1 + 0.42 = 0.32
0.04Y = 0.32

Divide each side by '0.04'.
Y = 8

Simplifying
Y = 8

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