0.20(y-6)+0.16y=0.10y-0.05(50)

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Solution for 0.20(y-6)+0.16y=0.10y-0.05(50) equation: 


Simplifying
0.20(y + -6) + 0.16y = 0.10y + -0.05(50)

Reorder the terms:
0.20(-6 + y) + 0.16y = 0.10y + -0.05(50)
(-6 * 0.20 + y * 0.20) + 0.16y = 0.10y + -0.05(50)
(-1.2 + 0.20y) + 0.16y = 0.10y + -0.05(50)

Combine like terms: 0.20y + 0.16y = 0.36y
-1.2 + 0.36y = 0.10y + -0.05(50)

Multiply -0.05 * 50
-1.2 + 0.36y = 0.10y + -2.5

Reorder the terms:
-1.2 + 0.36y = -2.5 + 0.10y

Solving
-1.2 + 0.36y = -2.5 + 0.10y

Solving for variable 'y'.

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

Add '-0.10y' to each side of the equation.
-1.2 + 0.36y + -0.10y = -2.5 + 0.10y + -0.10y

Combine like terms: 0.36y + -0.10y = 0.26y
-1.2 + 0.26y = -2.5 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-1.2 + 0.26y = -2.5 + 0.00
-1.2 + 0.26y = -2.5

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.26y = -2.5 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.26y = -2.5 + 1.2
0.26y = -2.5 + 1.2

Combine like terms: -2.5 + 1.2 = -1.3
0.26y = -1.3

Divide each side by '0.26'.
y = -5

Simplifying
y = -5

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