.10(y-8)+.18y=.08y-2.8

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Solution for .10(y-8)+.18y=.08y-2.8 equation:


Simplifying
0.10(y + -8) + 0.18y = 0.08y + -2.8

Reorder the terms:
0.10(-8 + y) + 0.18y = 0.08y + -2.8
(-8 * 0.10 + y * 0.10) + 0.18y = 0.08y + -2.8
(-0.8 + 0.10y) + 0.18y = 0.08y + -2.8

Combine like terms: 0.10y + 0.18y = 0.28y
-0.8 + 0.28y = 0.08y + -2.8

Reorder the terms:
-0.8 + 0.28y = -2.8 + 0.08y

Solving
-0.8 + 0.28y = -2.8 + 0.08y

Solving for variable 'y'.

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

Add '-0.08y' to each side of the equation.
-0.8 + 0.28y + -0.08y = -2.8 + 0.08y + -0.08y

Combine like terms: 0.28y + -0.08y = 0.2y
-0.8 + 0.2y = -2.8 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
-0.8 + 0.2y = -2.8 + 0.00
-0.8 + 0.2y = -2.8

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.2y = -2.8 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.2y = -2.8 + 0.8
0.2y = -2.8 + 0.8

Combine like terms: -2.8 + 0.8 = -2
0.2y = -2

Divide each side by '0.2'.
y = -10

Simplifying
y = -10

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