0.6(y-5)+0.10y=0.20y+-0.01(20)

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Solution for 0.6(y-5)+0.10y=0.20y+-0.01(20) equation: 


Simplifying
0.6(y + -5) + 0.10y = 0.20y + -0.01(20)

Reorder the terms:
0.6(-5 + y) + 0.10y = 0.20y + -0.01(20)
(-5 * 0.6 + y * 0.6) + 0.10y = 0.20y + -0.01(20)
(-3 + 0.6y) + 0.10y = 0.20y + -0.01(20)

Combine like terms: 0.6y + 0.10y = 0.7y
-3 + 0.7y = 0.20y + -0.01(20)

Multiply -0.01 * 20
-3 + 0.7y = 0.20y + -0.2

Reorder the terms:
-3 + 0.7y = -0.2 + 0.20y

Solving
-3 + 0.7y = -0.2 + 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.
-3 + 0.7y + -0.20y = -0.2 + 0.20y + -0.20y

Combine like terms: 0.7y + -0.20y = 0.5y
-3 + 0.5y = -0.2 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-3 + 0.5y = -0.2 + 0.00
-3 + 0.5y = -0.2

Add '3' to each side of the equation.
-3 + 3 + 0.5y = -0.2 + 3

Combine like terms: -3 + 3 = 0
0 + 0.5y = -0.2 + 3
0.5y = -0.2 + 3

Combine like terms: -0.2 + 3 = 2.8
0.5y = 2.8

Divide each side by '0.5'.
y = 5.6

Simplifying
y = 5.6

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