5y+16=2(y-1)

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Solution for 5y+16=2(y-1) equation:


Simplifying
5y + 16 = 2(y + -1)

Reorder the terms:
16 + 5y = 2(y + -1)

Reorder the terms:
16 + 5y = 2(-1 + y)
16 + 5y = (-1 * 2 + y * 2)
16 + 5y = (-2 + 2y)

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

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

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

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

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

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

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

Simplifying
y = -6

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