2(7y+8)=8(y-1)

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Solution for 2(7y+8)=8(y-1) equation: 


Simplifying
2(7y + 8) = 8(y + -1)

Reorder the terms:
2(8 + 7y) = 8(y + -1)
(8 * 2 + 7y * 2) = 8(y + -1)
(16 + 14y) = 8(y + -1)

Reorder the terms:
16 + 14y = 8(-1 + y)
16 + 14y = (-1 * 8 + y * 8)
16 + 14y = (-8 + 8y)

Solving
16 + 14y = -8 + 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.
16 + 14y + -8y = -8 + 8y + -8y

Combine like terms: 14y + -8y = 6y
16 + 6y = -8 + 8y + -8y

Combine like terms: 8y + -8y = 0
16 + 6y = -8 + 0
16 + 6y = -8

Add '-16' to each side of the equation.
16 + -16 + 6y = -8 + -16

Combine like terms: 16 + -16 = 0
0 + 6y = -8 + -16
6y = -8 + -16

Combine like terms: -8 + -16 = -24
6y = -24

Divide each side by '6'.
y = -4

Simplifying
y = -4

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