8(y+6)+y=3(y+3)+4

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Solution for 8(y+6)+y=3(y+3)+4 equation: 


Simplifying
8(y + 6) + y = 3(y + 3) + 4

Reorder the terms:
8(6 + y) + y = 3(y + 3) + 4
(6 * 8 + y * 8) + y = 3(y + 3) + 4
(48 + 8y) + y = 3(y + 3) + 4

Combine like terms: 8y + y = 9y
48 + 9y = 3(y + 3) + 4

Reorder the terms:
48 + 9y = 3(3 + y) + 4
48 + 9y = (3 * 3 + y * 3) + 4
48 + 9y = (9 + 3y) + 4

Reorder the terms:
48 + 9y = 9 + 4 + 3y

Combine like terms: 9 + 4 = 13
48 + 9y = 13 + 3y

Solving
48 + 9y = 13 + 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.
48 + 9y + -3y = 13 + 3y + -3y

Combine like terms: 9y + -3y = 6y
48 + 6y = 13 + 3y + -3y

Combine like terms: 3y + -3y = 0
48 + 6y = 13 + 0
48 + 6y = 13

Add '-48' to each side of the equation.
48 + -48 + 6y = 13 + -48

Combine like terms: 48 + -48 = 0
0 + 6y = 13 + -48
6y = 13 + -48

Combine like terms: 13 + -48 = -35
6y = -35

Divide each side by '6'.
y = -5.833333333

Simplifying
y = -5.833333333

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