0.06(y-2)+0.16y=0.10y-0.09(10)

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Solution for 0.06(y-2)+0.16y=0.10y-0.09(10) equation: 


Simplifying
0.06(y + -2) + 0.16y = 0.10y + -0.09(10)

Reorder the terms:
0.06(-2 + y) + 0.16y = 0.10y + -0.09(10)
(-2 * 0.06 + y * 0.06) + 0.16y = 0.10y + -0.09(10)
(-0.12 + 0.06y) + 0.16y = 0.10y + -0.09(10)

Combine like terms: 0.06y + 0.16y = 0.22y
-0.12 + 0.22y = 0.10y + -0.09(10)

Multiply -0.09 * 10
-0.12 + 0.22y = 0.10y + -0.9

Reorder the terms:
-0.12 + 0.22y = -0.9 + 0.10y

Solving
-0.12 + 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.
-0.12 + 0.22y + -0.10y = -0.9 + 0.10y + -0.10y

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

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

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

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

Combine like terms: -0.9 + 0.12 = -0.78
0.12y = -0.78

Divide each side by '0.12'.
y = -6.5

Simplifying
y = -6.5

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