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

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Solution for 8(y+7)+y=3(y+3)-4 equation:


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

Reorder the terms:
8(7 + y) + y = 3(y + 3) + -4
(7 * 8 + y * 8) + y = 3(y + 3) + -4
(56 + 8y) + y = 3(y + 3) + -4

Combine like terms: 8y + y = 9y
56 + 9y = 3(y + 3) + -4

Reorder the terms:
56 + 9y = 3(3 + y) + -4
56 + 9y = (3 * 3 + y * 3) + -4
56 + 9y = (9 + 3y) + -4

Reorder the terms:
56 + 9y = 9 + -4 + 3y

Combine like terms: 9 + -4 = 5
56 + 9y = 5 + 3y

Solving
56 + 9y = 5 + 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 + 9y + -3y = 5 + 3y + -3y

Combine like terms: 9y + -3y = 6y
56 + 6y = 5 + 3y + -3y

Combine like terms: 3y + -3y = 0
56 + 6y = 5 + 0
56 + 6y = 5

Add '-56' to each side of the equation.
56 + -56 + 6y = 5 + -56

Combine like terms: 56 + -56 = 0
0 + 6y = 5 + -56
6y = 5 + -56

Combine like terms: 5 + -56 = -51
6y = -51

Divide each side by '6'.
y = -8.5

Simplifying
y = -8.5

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