3(2y+4)=-2+4(y+7)

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Solution for 3(2y+4)=-2+4(y+7) equation:


Simplifying
3(2y + 4) = -2 + 4(y + 7)

Reorder the terms:
3(4 + 2y) = -2 + 4(y + 7)
(4 * 3 + 2y * 3) = -2 + 4(y + 7)
(12 + 6y) = -2 + 4(y + 7)

Reorder the terms:
12 + 6y = -2 + 4(7 + y)
12 + 6y = -2 + (7 * 4 + y * 4)
12 + 6y = -2 + (28 + 4y)

Combine like terms: -2 + 28 = 26
12 + 6y = 26 + 4y

Solving
12 + 6y = 26 + 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.
12 + 6y + -4y = 26 + 4y + -4y

Combine like terms: 6y + -4y = 2y
12 + 2y = 26 + 4y + -4y

Combine like terms: 4y + -4y = 0
12 + 2y = 26 + 0
12 + 2y = 26

Add '-12' to each side of the equation.
12 + -12 + 2y = 26 + -12

Combine like terms: 12 + -12 = 0
0 + 2y = 26 + -12
2y = 26 + -12

Combine like terms: 26 + -12 = 14
2y = 14

Divide each side by '2'.
y = 7

Simplifying
y = 7

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