7(y+8)+y=3(y+3)+6

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Solution for 7(y+8)+y=3(y+3)+6 equation: 


Simplifying
7(y + 8) + y = 3(y + 3) + 6

Reorder the terms:
7(8 + y) + y = 3(y + 3) + 6
(8 * 7 + y * 7) + y = 3(y + 3) + 6
(56 + 7y) + y = 3(y + 3) + 6

Combine like terms: 7y + y = 8y
56 + 8y = 3(y + 3) + 6

Reorder the terms:
56 + 8y = 3(3 + y) + 6
56 + 8y = (3 * 3 + y * 3) + 6
56 + 8y = (9 + 3y) + 6

Reorder the terms:
56 + 8y = 9 + 6 + 3y

Combine like terms: 9 + 6 = 15
56 + 8y = 15 + 3y

Solving
56 + 8y = 15 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
56 + 8y + -3y = 15 + 3y + -3y

Combine like terms: 8y + -3y = 5y
56 + 5y = 15 + 3y + -3y

Combine like terms: 3y + -3y = 0
56 + 5y = 15 + 0
56 + 5y = 15

Add '-56' to each side of the equation.
56 + -56 + 5y = 15 + -56

Combine like terms: 56 + -56 = 0
0 + 5y = 15 + -56
5y = 15 + -56

Combine like terms: 15 + -56 = -41
5y = -41

Divide each side by '5'.
y = -8.2

Simplifying
y = -8.2

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