5y+2=2(y-4)

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


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

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

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

Solving
2 + 5y = -8 + 2y

Solving for variable 'y'.

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + 3y = -8 + -2

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

Combine like terms: -8 + -2 = -10
3y = -10

Divide each side by '3'.
y = -3.333333333

Simplifying
y = -3.333333333

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