-5y+2=-2(4y+8)

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Solution for -5y+2=-2(4y+8) equation: 


Simplifying
-5y + 2 = -2(4y + 8)

Reorder the terms:
2 + -5y = -2(4y + 8)

Reorder the terms:
2 + -5y = -2(8 + 4y)
2 + -5y = (8 * -2 + 4y * -2)
2 + -5y = (-16 + -8y)

Solving
2 + -5y = -16 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
2 + -5y + 8y = -16 + -8y + 8y

Combine like terms: -5y + 8y = 3y
2 + 3y = -16 + -8y + 8y

Combine like terms: -8y + 8y = 0
2 + 3y = -16 + 0
2 + 3y = -16

Add '-2' to each side of the equation.
2 + -2 + 3y = -16 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = -16 + -2
3y = -16 + -2

Combine like terms: -16 + -2 = -18
3y = -18

Divide each side by '3'.
y = -6

Simplifying
y = -6

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