0.12(y-8)+0.18y=0.20y-0.01(20)

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Solution for 0.12(y-8)+0.18y=0.20y-0.01(20) equation: 


Simplifying
0.12(y + -8) + 0.18y = 0.20y + -0.01(20)

Reorder the terms:
0.12(-8 + y) + 0.18y = 0.20y + -0.01(20)
(-8 * 0.12 + y * 0.12) + 0.18y = 0.20y + -0.01(20)
(-0.96 + 0.12y) + 0.18y = 0.20y + -0.01(20)

Combine like terms: 0.12y + 0.18y = 0.3y
-0.96 + 0.3y = 0.20y + -0.01(20)

Multiply -0.01 * 20
-0.96 + 0.3y = 0.20y + -0.2

Reorder the terms:
-0.96 + 0.3y = -0.2 + 0.20y

Solving
-0.96 + 0.3y = -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.
-0.96 + 0.3y + -0.20y = -0.2 + 0.20y + -0.20y

Combine like terms: 0.3y + -0.20y = 0.1y
-0.96 + 0.1y = -0.2 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.96 + 0.1y = -0.2 + 0.00
-0.96 + 0.1y = -0.2

Add '0.96' to each side of the equation.
-0.96 + 0.96 + 0.1y = -0.2 + 0.96

Combine like terms: -0.96 + 0.96 = 0.00
0.00 + 0.1y = -0.2 + 0.96
0.1y = -0.2 + 0.96

Combine like terms: -0.2 + 0.96 = 0.76
0.1y = 0.76

Divide each side by '0.1'.
y = 7.6

Simplifying
y = 7.6

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