0.06(y-3)+0.10y=0.20y-0.01(50)

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Solution for 0.06(y-3)+0.10y=0.20y-0.01(50) equation: 


Simplifying
0.06(y + -3) + 0.10y = 0.20y + -0.01(50)

Reorder the terms:
0.06(-3 + y) + 0.10y = 0.20y + -0.01(50)
(-3 * 0.06 + y * 0.06) + 0.10y = 0.20y + -0.01(50)
(-0.18 + 0.06y) + 0.10y = 0.20y + -0.01(50)

Combine like terms: 0.06y + 0.10y = 0.16y
-0.18 + 0.16y = 0.20y + -0.01(50)

Multiply -0.01 * 50
-0.18 + 0.16y = 0.20y + -0.5

Reorder the terms:
-0.18 + 0.16y = -0.5 + 0.20y

Solving
-0.18 + 0.16y = -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.
-0.18 + 0.16y + -0.20y = -0.5 + 0.20y + -0.20y

Combine like terms: 0.16y + -0.20y = -0.04y
-0.18 + -0.04y = -0.5 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.18 + -0.04y = -0.5 + 0.00
-0.18 + -0.04y = -0.5

Add '0.18' to each side of the equation.
-0.18 + 0.18 + -0.04y = -0.5 + 0.18

Combine like terms: -0.18 + 0.18 = 0.00
0.00 + -0.04y = -0.5 + 0.18
-0.04y = -0.5 + 0.18

Combine like terms: -0.5 + 0.18 = -0.32
-0.04y = -0.32

Divide each side by '-0.04'.
y = 8

Simplifying
y = 8

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