0.04(y-8)+0.18y=0.12y-0.09(10)

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Solution for 0.04(y-8)+0.18y=0.12y-0.09(10) equation:


Simplifying
0.04(y + -8) + 0.18y = 0.12y + -0.09(10)

Reorder the terms:
0.04(-8 + y) + 0.18y = 0.12y + -0.09(10)
(-8 * 0.04 + y * 0.04) + 0.18y = 0.12y + -0.09(10)
(-0.32 + 0.04y) + 0.18y = 0.12y + -0.09(10)

Combine like terms: 0.04y + 0.18y = 0.22y
-0.32 + 0.22y = 0.12y + -0.09(10)

Multiply -0.09 * 10
-0.32 + 0.22y = 0.12y + -0.9

Reorder the terms:
-0.32 + 0.22y = -0.9 + 0.12y

Solving
-0.32 + 0.22y = -0.9 + 0.12y

Solving for variable 'y'.

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

Add '-0.12y' to each side of the equation.
-0.32 + 0.22y + -0.12y = -0.9 + 0.12y + -0.12y

Combine like terms: 0.22y + -0.12y = 0.1y
-0.32 + 0.1y = -0.9 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-0.32 + 0.1y = -0.9 + 0.00
-0.32 + 0.1y = -0.9

Add '0.32' to each side of the equation.
-0.32 + 0.32 + 0.1y = -0.9 + 0.32

Combine like terms: -0.32 + 0.32 = 0.00
0.00 + 0.1y = -0.9 + 0.32
0.1y = -0.9 + 0.32

Combine like terms: -0.9 + 0.32 = -0.58
0.1y = -0.58

Divide each side by '0.1'.
y = -5.8

Simplifying
y = -5.8

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