8(y+4)=2y+14

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Solution for 8(y+4)=2y+14 equation:


Simplifying
8(y + 4) = 2y + 14

Reorder the terms:
8(4 + y) = 2y + 14
(4 * 8 + y * 8) = 2y + 14
(32 + 8y) = 2y + 14

Reorder the terms:
32 + 8y = 14 + 2y

Solving
32 + 8y = 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.
32 + 8y + -2y = 14 + 2y + -2y

Combine like terms: 8y + -2y = 6y
32 + 6y = 14 + 2y + -2y

Combine like terms: 2y + -2y = 0
32 + 6y = 14 + 0
32 + 6y = 14

Add '-32' to each side of the equation.
32 + -32 + 6y = 14 + -32

Combine like terms: 32 + -32 = 0
0 + 6y = 14 + -32
6y = 14 + -32

Combine like terms: 14 + -32 = -18
6y = -18

Divide each side by '6'.
y = -3

Simplifying
y = -3

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