0.12(y-9)+0.10y=0.04y-0.9

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Solution for 0.12(y-9)+0.10y=0.04y-0.9 equation: 


Simplifying
0.12(y + -9) + 0.10y = 0.04y + -0.9

Reorder the terms:
0.12(-9 + y) + 0.10y = 0.04y + -0.9
(-9 * 0.12 + y * 0.12) + 0.10y = 0.04y + -0.9
(-1.08 + 0.12y) + 0.10y = 0.04y + -0.9

Combine like terms: 0.12y + 0.10y = 0.22y
-1.08 + 0.22y = 0.04y + -0.9

Reorder the terms:
-1.08 + 0.22y = -0.9 + 0.04y

Solving
-1.08 + 0.22y = -0.9 + 0.04y

Solving for variable 'y'.

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

Add '-0.04y' to each side of the equation.
-1.08 + 0.22y + -0.04y = -0.9 + 0.04y + -0.04y

Combine like terms: 0.22y + -0.04y = 0.18y
-1.08 + 0.18y = -0.9 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-1.08 + 0.18y = -0.9 + 0.00
-1.08 + 0.18y = -0.9

Add '1.08' to each side of the equation.
-1.08 + 1.08 + 0.18y = -0.9 + 1.08

Combine like terms: -1.08 + 1.08 = 0.00
0.00 + 0.18y = -0.9 + 1.08
0.18y = -0.9 + 1.08

Combine like terms: -0.9 + 1.08 = 0.18
0.18y = 0.18

Divide each side by '0.18'.
y = 1

Simplifying
y = 1

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