0.08(y-3)+0.20y=0.02y-0.5

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Solution for 0.08(y-3)+0.20y=0.02y-0.5 equation: 


Simplifying
0.08(y + -3) + 0.20y = 0.02y + -0.5

Reorder the terms:
0.08(-3 + y) + 0.20y = 0.02y + -0.5
(-3 * 0.08 + y * 0.08) + 0.20y = 0.02y + -0.5
(-0.24 + 0.08y) + 0.20y = 0.02y + -0.5

Combine like terms: 0.08y + 0.20y = 0.28y
-0.24 + 0.28y = 0.02y + -0.5

Reorder the terms:
-0.24 + 0.28y = -0.5 + 0.02y

Solving
-0.24 + 0.28y = -0.5 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-0.24 + 0.28y + -0.02y = -0.5 + 0.02y + -0.02y

Combine like terms: 0.28y + -0.02y = 0.26y
-0.24 + 0.26y = -0.5 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.24 + 0.26y = -0.5 + 0.00
-0.24 + 0.26y = -0.5

Add '0.24' to each side of the equation.
-0.24 + 0.24 + 0.26y = -0.5 + 0.24

Combine like terms: -0.24 + 0.24 = 0.00
0.00 + 0.26y = -0.5 + 0.24
0.26y = -0.5 + 0.24

Combine like terms: -0.5 + 0.24 = -0.26
0.26y = -0.26

Divide each side by '0.26'.
y = -1

Simplifying
y = -1

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