y=(-2+0.4y)-8(-2+0.4y)+10

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Solution for y=(-2+0.4y)-8(-2+0.4y)+10 equation: 


Simplifying
y = (-2 + 0.4y) + -8(-2 + 0.4y) + 10

Remove parenthesis around (-2 + 0.4y)
y = -2 + 0.4y + -8(-2 + 0.4y) + 10
y = -2 + 0.4y + (-2 * -8 + 0.4y * -8) + 10
y = -2 + 0.4y + (16 + -3.2y) + 10

Reorder the terms:
y = -2 + 16 + 10 + 0.4y + -3.2y

Combine like terms: -2 + 16 = 14
y = 14 + 10 + 0.4y + -3.2y

Combine like terms: 14 + 10 = 24
y = 24 + 0.4y + -3.2y

Combine like terms: 0.4y + -3.2y = -2.8y
y = 24 + -2.8y

Solving
y = 24 + -2.8y

Solving for variable 'y'.

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

Add '2.8y' to each side of the equation.
y + 2.8y = 24 + -2.8y + 2.8y

Combine like terms: y + 2.8y = 3.8y
3.8y = 24 + -2.8y + 2.8y

Combine like terms: -2.8y + 2.8y = 0.0
3.8y = 24 + 0.0
3.8y = 24

Divide each side by '3.8'.
y = 6.315789474

Simplifying
y = 6.315789474

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