0.04(y-8)+0.10y=0.12y-0.01(20)

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Solution for 0.04(y-8)+0.10y=0.12y-0.01(20) equation: 


Simplifying
0.04(y + -8) + 0.10y = 0.12y + -0.01(20)

Reorder the terms:
0.04(-8 + y) + 0.10y = 0.12y + -0.01(20)
(-8 * 0.04 + y * 0.04) + 0.10y = 0.12y + -0.01(20)
(-0.32 + 0.04y) + 0.10y = 0.12y + -0.01(20)

Combine like terms: 0.04y + 0.10y = 0.14y
-0.32 + 0.14y = 0.12y + -0.01(20)

Multiply -0.01 * 20
-0.32 + 0.14y = 0.12y + -0.2

Reorder the terms:
-0.32 + 0.14y = -0.2 + 0.12y

Solving
-0.32 + 0.14y = -0.2 + 0.12y

Solving for variable 'y'.

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

Add '-0.12y' to each side of the equation.
-0.32 + 0.14y + -0.12y = -0.2 + 0.12y + -0.12y

Combine like terms: 0.14y + -0.12y = 0.02y
-0.32 + 0.02y = -0.2 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-0.32 + 0.02y = -0.2 + 0.00
-0.32 + 0.02y = -0.2

Add '0.32' to each side of the equation.
-0.32 + 0.32 + 0.02y = -0.2 + 0.32

Combine like terms: -0.32 + 0.32 = 0.00
0.00 + 0.02y = -0.2 + 0.32
0.02y = -0.2 + 0.32

Combine like terms: -0.2 + 0.32 = 0.12
0.02y = 0.12

Divide each side by '0.02'.
y = 6

Simplifying
y = 6

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