0.12(y-8)+0.06y=0.10y-1.5

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Solution for 0.12(y-8)+0.06y=0.10y-1.5 equation: 


Simplifying
0.12(y + -8) + 0.06y = 0.10y + -1.5

Reorder the terms:
0.12(-8 + y) + 0.06y = 0.10y + -1.5
(-8 * 0.12 + y * 0.12) + 0.06y = 0.10y + -1.5
(-0.96 + 0.12y) + 0.06y = 0.10y + -1.5

Combine like terms: 0.12y + 0.06y = 0.18y
-0.96 + 0.18y = 0.10y + -1.5

Reorder the terms:
-0.96 + 0.18y = -1.5 + 0.10y

Solving
-0.96 + 0.18y = -1.5 + 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.
-0.96 + 0.18y + -0.10y = -1.5 + 0.10y + -0.10y

Combine like terms: 0.18y + -0.10y = 0.08y
-0.96 + 0.08y = -1.5 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.96 + 0.08y = -1.5 + 0.00
-0.96 + 0.08y = -1.5

Add '0.96' to each side of the equation.
-0.96 + 0.96 + 0.08y = -1.5 + 0.96

Combine like terms: -0.96 + 0.96 = 0.00
0.00 + 0.08y = -1.5 + 0.96
0.08y = -1.5 + 0.96

Combine like terms: -1.5 + 0.96 = -0.54
0.08y = -0.54

Divide each side by '0.08'.
y = -6.75

Simplifying
y = -6.75

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