0.08(y-1)+0.20y=0.18y-0.18y-0.05(10)

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Solution for 0.08(y-1)+0.20y=0.18y-0.18y-0.05(10) equation: 


Simplifying
0.08(y + -1) + 0.20y = 0.18y + -0.18y + -0.05(10)

Reorder the terms:
0.08(-1 + y) + 0.20y = 0.18y + -0.18y + -0.05(10)
(-1 * 0.08 + y * 0.08) + 0.20y = 0.18y + -0.18y + -0.05(10)
(-0.08 + 0.08y) + 0.20y = 0.18y + -0.18y + -0.05(10)

Combine like terms: 0.08y + 0.20y = 0.28y
-0.08 + 0.28y = 0.18y + -0.18y + -0.05(10)

Multiply -0.05 * 10
-0.08 + 0.28y = 0.18y + -0.18y + -0.5

Reorder the terms:
-0.08 + 0.28y = -0.5 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.08 + 0.28y = -0.5 + 0.00
-0.08 + 0.28y = -0.5

Solving
-0.08 + 0.28y = -0.5

Solving for variable 'y'.

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

Add '0.08' to each side of the equation.
-0.08 + 0.08 + 0.28y = -0.5 + 0.08

Combine like terms: -0.08 + 0.08 = 0.00
0.00 + 0.28y = -0.5 + 0.08
0.28y = -0.5 + 0.08

Combine like terms: -0.5 + 0.08 = -0.42
0.28y = -0.42

Divide each side by '0.28'.
y = -1.5

Simplifying
y = -1.5

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