0.08(y-5)+0.16y=0.04y-0.09(20)

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Solution for 0.08(y-5)+0.16y=0.04y-0.09(20) equation: 


Simplifying
0.08(y + -5) + 0.16y = 0.04y + -0.09(20)

Reorder the terms:
0.08(-5 + y) + 0.16y = 0.04y + -0.09(20)
(-5 * 0.08 + y * 0.08) + 0.16y = 0.04y + -0.09(20)
(-0.4 + 0.08y) + 0.16y = 0.04y + -0.09(20)

Combine like terms: 0.08y + 0.16y = 0.24y
-0.4 + 0.24y = 0.04y + -0.09(20)

Multiply -0.09 * 20
-0.4 + 0.24y = 0.04y + -1.8

Reorder the terms:
-0.4 + 0.24y = -1.8 + 0.04y

Solving
-0.4 + 0.24y = -1.8 + 0.04y

Solving for variable 'y'.

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

Add '-0.04y' to each side of the equation.
-0.4 + 0.24y + -0.04y = -1.8 + 0.04y + -0.04y

Combine like terms: 0.24y + -0.04y = 0.2y
-0.4 + 0.2y = -1.8 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-0.4 + 0.2y = -1.8 + 0.00
-0.4 + 0.2y = -1.8

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.2y = -1.8 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.2y = -1.8 + 0.4
0.2y = -1.8 + 0.4

Combine like terms: -1.8 + 0.4 = -1.4
0.2y = -1.4

Divide each side by '0.2'.
y = -7

Simplifying
y = -7

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