0.18(y-8)+0.02y=0.12y-0.05(20)

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Solution for 0.18(y-8)+0.02y=0.12y-0.05(20) equation: 


Simplifying
0.18(y + -8) + 0.02y = 0.12y + -0.05(20)

Reorder the terms:
0.18(-8 + y) + 0.02y = 0.12y + -0.05(20)
(-8 * 0.18 + y * 0.18) + 0.02y = 0.12y + -0.05(20)
(-1.44 + 0.18y) + 0.02y = 0.12y + -0.05(20)

Combine like terms: 0.18y + 0.02y = 0.2y
-1.44 + 0.2y = 0.12y + -0.05(20)

Multiply -0.05 * 20
-1.44 + 0.2y = 0.12y + -1

Reorder the terms:
-1.44 + 0.2y = -1 + 0.12y

Solving
-1.44 + 0.2y = -1 + 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.
-1.44 + 0.2y + -0.12y = -1 + 0.12y + -0.12y

Combine like terms: 0.2y + -0.12y = 0.08y
-1.44 + 0.08y = -1 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-1.44 + 0.08y = -1 + 0.00
-1.44 + 0.08y = -1

Add '1.44' to each side of the equation.
-1.44 + 1.44 + 0.08y = -1 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 0.08y = -1 + 1.44
0.08y = -1 + 1.44

Combine like terms: -1 + 1.44 = 0.44
0.08y = 0.44

Divide each side by '0.08'.
y = 5.5

Simplifying
y = 5.5

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