0.16(y-5)+0.10y=0.20y-0.01(50)

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Solution for 0.16(y-5)+0.10y=0.20y-0.01(50) equation: 


Simplifying
0.16(y + -5) + 0.10y = 0.20y + -0.01(50)

Reorder the terms:
0.16(-5 + y) + 0.10y = 0.20y + -0.01(50)
(-5 * 0.16 + y * 0.16) + 0.10y = 0.20y + -0.01(50)
(-0.8 + 0.16y) + 0.10y = 0.20y + -0.01(50)

Combine like terms: 0.16y + 0.10y = 0.26y
-0.8 + 0.26y = 0.20y + -0.01(50)

Multiply -0.01 * 50
-0.8 + 0.26y = 0.20y + -0.5

Reorder the terms:
-0.8 + 0.26y = -0.5 + 0.20y

Solving
-0.8 + 0.26y = -0.5 + 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.
-0.8 + 0.26y + -0.20y = -0.5 + 0.20y + -0.20y

Combine like terms: 0.26y + -0.20y = 0.06y
-0.8 + 0.06y = -0.5 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.8 + 0.06y = -0.5 + 0.00
-0.8 + 0.06y = -0.5

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.06y = -0.5 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.06y = -0.5 + 0.8
0.06y = -0.5 + 0.8

Combine like terms: -0.5 + 0.8 = 0.3
0.06y = 0.3

Divide each side by '0.06'.
y = 5

Simplifying
y = 5

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