8(2y+5)=(2y+14)

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Solution for 8(2y+5)=(2y+14) equation:


Simplifying
8(2y + 5) = (2y + 14)

Reorder the terms:
8(5 + 2y) = (2y + 14)
(5 * 8 + 2y * 8) = (2y + 14)
(40 + 16y) = (2y + 14)

Reorder the terms:
40 + 16y = (14 + 2y)

Remove parenthesis around (14 + 2y)
40 + 16y = 14 + 2y

Solving
40 + 16y = 14 + 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.
40 + 16y + -2y = 14 + 2y + -2y

Combine like terms: 16y + -2y = 14y
40 + 14y = 14 + 2y + -2y

Combine like terms: 2y + -2y = 0
40 + 14y = 14 + 0
40 + 14y = 14

Add '-40' to each side of the equation.
40 + -40 + 14y = 14 + -40

Combine like terms: 40 + -40 = 0
0 + 14y = 14 + -40
14y = 14 + -40

Combine like terms: 14 + -40 = -26
14y = -26

Divide each side by '14'.
y = -1.857142857

Simplifying
y = -1.857142857

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