0.10(y-9)+0.18y=0.20y-1

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Solution for 0.10(y-9)+0.18y=0.20y-1 equation: 


Simplifying
0.10(y + -9) + 0.18y = 0.20y + -1

Reorder the terms:
0.10(-9 + y) + 0.18y = 0.20y + -1
(-9 * 0.10 + y * 0.10) + 0.18y = 0.20y + -1
(-0.9 + 0.10y) + 0.18y = 0.20y + -1

Combine like terms: 0.10y + 0.18y = 0.28y
-0.9 + 0.28y = 0.20y + -1

Reorder the terms:
-0.9 + 0.28y = -1 + 0.20y

Solving
-0.9 + 0.28y = -1 + 0.20y

Solving for variable 'y'.

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

Add '-0.20y' to each side of the equation.
-0.9 + 0.28y + -0.20y = -1 + 0.20y + -0.20y

Combine like terms: 0.28y + -0.20y = 0.08y
-0.9 + 0.08y = -1 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.9 + 0.08y = -1 + 0.00
-0.9 + 0.08y = -1

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 0.08y = -1 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 0.08y = -1 + 0.9
0.08y = -1 + 0.9

Combine like terms: -1 + 0.9 = -0.1
0.08y = -0.1

Divide each side by '0.08'.
y = -1.25

Simplifying
y = -1.25

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