-4y+8=(2y-2)-2(-16+8y)

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Solution for -4y+8=(2y-2)-2(-16+8y) equation:


Simplifying
-4y + 8 = (2y + -2) + -2(-16 + 8y)

Reorder the terms:
8 + -4y = (2y + -2) + -2(-16 + 8y)

Reorder the terms:
8 + -4y = (-2 + 2y) + -2(-16 + 8y)

Remove parenthesis around (-2 + 2y)
8 + -4y = -2 + 2y + -2(-16 + 8y)
8 + -4y = -2 + 2y + (-16 * -2 + 8y * -2)
8 + -4y = -2 + 2y + (32 + -16y)

Reorder the terms:
8 + -4y = -2 + 32 + 2y + -16y

Combine like terms: -2 + 32 = 30
8 + -4y = 30 + 2y + -16y

Combine like terms: 2y + -16y = -14y
8 + -4y = 30 + -14y

Solving
8 + -4y = 30 + -14y

Solving for variable 'y'.

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

Add '14y' to each side of the equation.
8 + -4y + 14y = 30 + -14y + 14y

Combine like terms: -4y + 14y = 10y
8 + 10y = 30 + -14y + 14y

Combine like terms: -14y + 14y = 0
8 + 10y = 30 + 0
8 + 10y = 30

Add '-8' to each side of the equation.
8 + -8 + 10y = 30 + -8

Combine like terms: 8 + -8 = 0
0 + 10y = 30 + -8
10y = 30 + -8

Combine like terms: 30 + -8 = 22
10y = 22

Divide each side by '10'.
y = 2.2

Simplifying
y = 2.2

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