0.12(y-9)+0.04y=0.14y-0.09(10)

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Solution for 0.12(y-9)+0.04y=0.14y-0.09(10) equation: 


Simplifying
0.12(y + -9) + 0.04y = 0.14y + -0.09(10)

Reorder the terms:
0.12(-9 + y) + 0.04y = 0.14y + -0.09(10)
(-9 * 0.12 + y * 0.12) + 0.04y = 0.14y + -0.09(10)
(-1.08 + 0.12y) + 0.04y = 0.14y + -0.09(10)

Combine like terms: 0.12y + 0.04y = 0.16y
-1.08 + 0.16y = 0.14y + -0.09(10)

Multiply -0.09 * 10
-1.08 + 0.16y = 0.14y + -0.9

Reorder the terms:
-1.08 + 0.16y = -0.9 + 0.14y

Solving
-1.08 + 0.16y = -0.9 + 0.14y

Solving for variable 'y'.

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

Add '-0.14y' to each side of the equation.
-1.08 + 0.16y + -0.14y = -0.9 + 0.14y + -0.14y

Combine like terms: 0.16y + -0.14y = 0.02y
-1.08 + 0.02y = -0.9 + 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
-1.08 + 0.02y = -0.9 + 0.00
-1.08 + 0.02y = -0.9

Add '1.08' to each side of the equation.
-1.08 + 1.08 + 0.02y = -0.9 + 1.08

Combine like terms: -1.08 + 1.08 = 0.00
0.00 + 0.02y = -0.9 + 1.08
0.02y = -0.9 + 1.08

Combine like terms: -0.9 + 1.08 = 0.18
0.02y = 0.18

Divide each side by '0.02'.
y = 9

Simplifying
y = 9

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