6y+16=2(y+4)

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Solution for 6y+16=2(y+4) equation:


Simplifying
6y + 16 = 2(y + 4)

Reorder the terms:
16 + 6y = 2(y + 4)

Reorder the terms:
16 + 6y = 2(4 + y)
16 + 6y = (4 * 2 + y * 2)
16 + 6y = (8 + 2y)

Solving
16 + 6y = 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.
16 + 6y + -2y = 8 + 2y + -2y

Combine like terms: 6y + -2y = 4y
16 + 4y = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
16 + 4y = 8 + 0
16 + 4y = 8

Add '-16' to each side of the equation.
16 + -16 + 4y = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 4y = 8 + -16
4y = 8 + -16

Combine like terms: 8 + -16 = -8
4y = -8

Divide each side by '4'.
y = -2

Simplifying
y = -2

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