2(y+4)=-2(8y-7)+2y

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Solution for 2(y+4)=-2(8y-7)+2y equation:


Simplifying
2(y + 4) = -2(8y + -7) + 2y

Reorder the terms:
2(4 + y) = -2(8y + -7) + 2y
(4 * 2 + y * 2) = -2(8y + -7) + 2y
(8 + 2y) = -2(8y + -7) + 2y

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

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

Solving
8 + 2y = 14 + -14y

Solving for variable 'y'.

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

Add '14y' to each side of the equation.
8 + 2y + 14y = 14 + -14y + 14y

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

Combine like terms: -14y + 14y = 0
8 + 16y = 14 + 0
8 + 16y = 14

Add '-8' to each side of the equation.
8 + -8 + 16y = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 16y = 14 + -8
16y = 14 + -8

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

Divide each side by '16'.
y = 0.375

Simplifying
y = 0.375

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