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

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


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

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

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

Remove parenthesis around (7 + y)
12 + 6y = 7 + y + -2

Reorder the terms:
12 + 6y = 7 + -2 + y

Combine like terms: 7 + -2 = 5
12 + 6y = 5 + y

Solving
12 + 6y = 5 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
12 + 6y + -1y = 5 + y + -1y

Combine like terms: 6y + -1y = 5y
12 + 5y = 5 + y + -1y

Combine like terms: y + -1y = 0
12 + 5y = 5 + 0
12 + 5y = 5

Add '-12' to each side of the equation.
12 + -12 + 5y = 5 + -12

Combine like terms: 12 + -12 = 0
0 + 5y = 5 + -12
5y = 5 + -12

Combine like terms: 5 + -12 = -7
5y = -7

Divide each side by '5'.
y = -1.4

Simplifying
y = -1.4

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