2(y+8)=5y+28

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Solution for 2(y+8)=5y+28 equation: 


Simplifying
2(y + 8) = 5y + 28

Reorder the terms:
2(8 + y) = 5y + 28
(8 * 2 + y * 2) = 5y + 28
(16 + 2y) = 5y + 28

Reorder the terms:
16 + 2y = 28 + 5y

Solving
16 + 2y = 28 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
16 + 2y + -5y = 28 + 5y + -5y

Combine like terms: 2y + -5y = -3y
16 + -3y = 28 + 5y + -5y

Combine like terms: 5y + -5y = 0
16 + -3y = 28 + 0
16 + -3y = 28

Add '-16' to each side of the equation.
16 + -16 + -3y = 28 + -16

Combine like terms: 16 + -16 = 0
0 + -3y = 28 + -16
-3y = 28 + -16

Combine like terms: 28 + -16 = 12
-3y = 12

Divide each side by '-3'.
y = -4

Simplifying
y = -4

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