0.04(y-9)+0.08y=0.10y-0.5

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Solution for 0.04(y-9)+0.08y=0.10y-0.5 equation: 


Simplifying
0.04(y + -9) + 0.08y = 0.10y + -0.5

Reorder the terms:
0.04(-9 + y) + 0.08y = 0.10y + -0.5
(-9 * 0.04 + y * 0.04) + 0.08y = 0.10y + -0.5
(-0.36 + 0.04y) + 0.08y = 0.10y + -0.5

Combine like terms: 0.04y + 0.08y = 0.12y
-0.36 + 0.12y = 0.10y + -0.5

Reorder the terms:
-0.36 + 0.12y = -0.5 + 0.10y

Solving
-0.36 + 0.12y = -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.
-0.36 + 0.12y + -0.10y = -0.5 + 0.10y + -0.10y

Combine like terms: 0.12y + -0.10y = 0.02y
-0.36 + 0.02y = -0.5 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.36 + 0.02y = -0.5 + 0.00
-0.36 + 0.02y = -0.5

Add '0.36' to each side of the equation.
-0.36 + 0.36 + 0.02y = -0.5 + 0.36

Combine like terms: -0.36 + 0.36 = 0.00
0.00 + 0.02y = -0.5 + 0.36
0.02y = -0.5 + 0.36

Combine like terms: -0.5 + 0.36 = -0.14
0.02y = -0.14

Divide each side by '0.02'.
y = -7

Simplifying
y = -7

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