12+8(2y+3)=(y+7)-7

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Solution for 12+8(2y+3)=(y+7)-7 equation: 


Simplifying
12 + 8(2y + 3) = (y + 7) + -7

Reorder the terms:
12 + 8(3 + 2y) = (y + 7) + -7
12 + (3 * 8 + 2y * 8) = (y + 7) + -7
12 + (24 + 16y) = (y + 7) + -7

Combine like terms: 12 + 24 = 36
36 + 16y = (y + 7) + -7

Reorder the terms:
36 + 16y = (7 + y) + -7

Remove parenthesis around (7 + y)
36 + 16y = 7 + y + -7

Reorder the terms:
36 + 16y = 7 + -7 + y

Combine like terms: 7 + -7 = 0
36 + 16y = 0 + y
36 + 16y = y

Solving
36 + 16y = 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.
36 + 16y + -1y = y + -1y

Combine like terms: 16y + -1y = 15y
36 + 15y = y + -1y

Combine like terms: y + -1y = 0
36 + 15y = 0

Add '-36' to each side of the equation.
36 + -36 + 15y = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 15y = 0 + -36
15y = 0 + -36

Combine like terms: 0 + -36 = -36
15y = -36

Divide each side by '15'.
y = -2.4

Simplifying
y = -2.4

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