0.18(y-6)+0.04y=0.10y-2.1

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Solution for 0.18(y-6)+0.04y=0.10y-2.1 equation: 


Simplifying
0.18(y + -6) + 0.04y = 0.10y + -2.1

Reorder the terms:
0.18(-6 + y) + 0.04y = 0.10y + -2.1
(-6 * 0.18 + y * 0.18) + 0.04y = 0.10y + -2.1
(-1.08 + 0.18y) + 0.04y = 0.10y + -2.1

Combine like terms: 0.18y + 0.04y = 0.22y
-1.08 + 0.22y = 0.10y + -2.1

Reorder the terms:
-1.08 + 0.22y = -2.1 + 0.10y

Solving
-1.08 + 0.22y = -2.1 + 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.
-1.08 + 0.22y + -0.10y = -2.1 + 0.10y + -0.10y

Combine like terms: 0.22y + -0.10y = 0.12y
-1.08 + 0.12y = -2.1 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-1.08 + 0.12y = -2.1 + 0.00
-1.08 + 0.12y = -2.1

Add '1.08' to each side of the equation.
-1.08 + 1.08 + 0.12y = -2.1 + 1.08

Combine like terms: -1.08 + 1.08 = 0.00
0.00 + 0.12y = -2.1 + 1.08
0.12y = -2.1 + 1.08

Combine like terms: -2.1 + 1.08 = -1.02
0.12y = -1.02

Divide each side by '0.12'.
y = -8.5

Simplifying
y = -8.5

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