6(y+12)=4y-28

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Solution for 6(y+12)=4y-28 equation:


Simplifying
6(y + 12) = 4y + -28

Reorder the terms:
6(12 + y) = 4y + -28
(12 * 6 + y * 6) = 4y + -28
(72 + 6y) = 4y + -28

Reorder the terms:
72 + 6y = -28 + 4y

Solving
72 + 6y = -28 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
72 + 6y + -4y = -28 + 4y + -4y

Combine like terms: 6y + -4y = 2y
72 + 2y = -28 + 4y + -4y

Combine like terms: 4y + -4y = 0
72 + 2y = -28 + 0
72 + 2y = -28

Add '-72' to each side of the equation.
72 + -72 + 2y = -28 + -72

Combine like terms: 72 + -72 = 0
0 + 2y = -28 + -72
2y = -28 + -72

Combine like terms: -28 + -72 = -100
2y = -100

Divide each side by '2'.
y = -50

Simplifying
y = -50

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