0.12(y-8)+0.10y=0.18y-0.03(40)

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Solution for 0.12(y-8)+0.10y=0.18y-0.03(40) equation: 


Simplifying
0.12(y + -8) + 0.10y = 0.18y + -0.03(40)

Reorder the terms:
0.12(-8 + y) + 0.10y = 0.18y + -0.03(40)
(-8 * 0.12 + y * 0.12) + 0.10y = 0.18y + -0.03(40)
(-0.96 + 0.12y) + 0.10y = 0.18y + -0.03(40)

Combine like terms: 0.12y + 0.10y = 0.22y
-0.96 + 0.22y = 0.18y + -0.03(40)

Multiply -0.03 * 40
-0.96 + 0.22y = 0.18y + -1.2

Reorder the terms:
-0.96 + 0.22y = -1.2 + 0.18y

Solving
-0.96 + 0.22y = -1.2 + 0.18y

Solving for variable 'y'.

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

Add '-0.18y' to each side of the equation.
-0.96 + 0.22y + -0.18y = -1.2 + 0.18y + -0.18y

Combine like terms: 0.22y + -0.18y = 0.04y
-0.96 + 0.04y = -1.2 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.96 + 0.04y = -1.2 + 0.00
-0.96 + 0.04y = -1.2

Add '0.96' to each side of the equation.
-0.96 + 0.96 + 0.04y = -1.2 + 0.96

Combine like terms: -0.96 + 0.96 = 0.00
0.00 + 0.04y = -1.2 + 0.96
0.04y = -1.2 + 0.96

Combine like terms: -1.2 + 0.96 = -0.24
0.04y = -0.24

Divide each side by '0.04'.
y = -6

Simplifying
y = -6

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