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

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


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

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

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

Combine like terms: -14y + 8y = -6y
16 + 2y = 2 + -6y

Solving
16 + 2y = 2 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
16 + 2y + 6y = 2 + -6y + 6y

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

Combine like terms: -6y + 6y = 0
16 + 8y = 2 + 0
16 + 8y = 2

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

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

Combine like terms: 2 + -16 = -14
8y = -14

Divide each side by '8'.
y = -1.75

Simplifying
y = -1.75

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