0.08(y-5)+0.12y=0.10y-0.5

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Solution for 0.08(y-5)+0.12y=0.10y-0.5 equation: 


Simplifying
0.08(y + -5) + 0.12y = 0.10y + -0.5

Reorder the terms:
0.08(-5 + y) + 0.12y = 0.10y + -0.5
(-5 * 0.08 + y * 0.08) + 0.12y = 0.10y + -0.5
(-0.4 + 0.08y) + 0.12y = 0.10y + -0.5

Combine like terms: 0.08y + 0.12y = 0.2y
-0.4 + 0.2y = 0.10y + -0.5

Reorder the terms:
-0.4 + 0.2y = -0.5 + 0.10y

Solving
-0.4 + 0.2y = -0.5 + 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.
-0.4 + 0.2y + -0.10y = -0.5 + 0.10y + -0.10y

Combine like terms: 0.2y + -0.10y = 0.1y
-0.4 + 0.1y = -0.5 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.4 + 0.1y = -0.5 + 0.00
-0.4 + 0.1y = -0.5

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.1y = -0.5 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.1y = -0.5 + 0.4
0.1y = -0.5 + 0.4

Combine like terms: -0.5 + 0.4 = -0.1
0.1y = -0.1

Divide each side by '0.1'.
y = -1

Simplifying
y = -1

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