0.10(y-8)+0.06y=0.12y-0.03(30)

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Solution for 0.10(y-8)+0.06y=0.12y-0.03(30) equation: 


Simplifying
0.10(y + -8) + 0.06y = 0.12y + -0.03(30)

Reorder the terms:
0.10(-8 + y) + 0.06y = 0.12y + -0.03(30)
(-8 * 0.10 + y * 0.10) + 0.06y = 0.12y + -0.03(30)
(-0.8 + 0.10y) + 0.06y = 0.12y + -0.03(30)

Combine like terms: 0.10y + 0.06y = 0.16y
-0.8 + 0.16y = 0.12y + -0.03(30)

Multiply -0.03 * 30
-0.8 + 0.16y = 0.12y + -0.9

Reorder the terms:
-0.8 + 0.16y = -0.9 + 0.12y

Solving
-0.8 + 0.16y = -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.
-0.8 + 0.16y + -0.12y = -0.9 + 0.12y + -0.12y

Combine like terms: 0.16y + -0.12y = 0.04y
-0.8 + 0.04y = -0.9 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-0.8 + 0.04y = -0.9 + 0.00
-0.8 + 0.04y = -0.9

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.04y = -0.9 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.04y = -0.9 + 0.8
0.04y = -0.9 + 0.8

Combine like terms: -0.9 + 0.8 = -0.1
0.04y = -0.1

Divide each side by '0.04'.
y = -2.5

Simplifying
y = -2.5

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