0.18(y-8)+0.04y=0.10y-0.9

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Solution for 0.18(y-8)+0.04y=0.10y-0.9 equation: 


Simplifying
0.18(y + -8) + 0.04y = 0.10y + -0.9

Reorder the terms:
0.18(-8 + y) + 0.04y = 0.10y + -0.9
(-8 * 0.18 + y * 0.18) + 0.04y = 0.10y + -0.9
(-1.44 + 0.18y) + 0.04y = 0.10y + -0.9

Combine like terms: 0.18y + 0.04y = 0.22y
-1.44 + 0.22y = 0.10y + -0.9

Reorder the terms:
-1.44 + 0.22y = -0.9 + 0.10y

Solving
-1.44 + 0.22y = -0.9 + 0.10y

Solving for variable 'y'.

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

Add '-0.10y' to each side of the equation.
-1.44 + 0.22y + -0.10y = -0.9 + 0.10y + -0.10y

Combine like terms: 0.22y + -0.10y = 0.12y
-1.44 + 0.12y = -0.9 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-1.44 + 0.12y = -0.9 + 0.00
-1.44 + 0.12y = -0.9

Add '1.44' to each side of the equation.
-1.44 + 1.44 + 0.12y = -0.9 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 0.12y = -0.9 + 1.44
0.12y = -0.9 + 1.44

Combine like terms: -0.9 + 1.44 = 0.54
0.12y = 0.54

Divide each side by '0.12'.
y = 4.5

Simplifying
y = 4.5

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