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

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


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

Reorder the terms:
7(7 + y) + y = 2(y + 3) + 7
(7 * 7 + y * 7) + y = 2(y + 3) + 7
(49 + 7y) + y = 2(y + 3) + 7

Combine like terms: 7y + y = 8y
49 + 8y = 2(y + 3) + 7

Reorder the terms:
49 + 8y = 2(3 + y) + 7
49 + 8y = (3 * 2 + y * 2) + 7
49 + 8y = (6 + 2y) + 7

Reorder the terms:
49 + 8y = 6 + 7 + 2y

Combine like terms: 6 + 7 = 13
49 + 8y = 13 + 2y

Solving
49 + 8y = 13 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
49 + 8y + -2y = 13 + 2y + -2y

Combine like terms: 8y + -2y = 6y
49 + 6y = 13 + 2y + -2y

Combine like terms: 2y + -2y = 0
49 + 6y = 13 + 0
49 + 6y = 13

Add '-49' to each side of the equation.
49 + -49 + 6y = 13 + -49

Combine like terms: 49 + -49 = 0
0 + 6y = 13 + -49
6y = 13 + -49

Combine like terms: 13 + -49 = -36
6y = -36

Divide each side by '6'.
y = -6

Simplifying
y = -6

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