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

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


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

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

Combine like terms: 6y + y = 7y
48 + 7y = 3(y + 3) + -4

Reorder the terms:
48 + 7y = 3(3 + y) + -4
48 + 7y = (3 * 3 + y * 3) + -4
48 + 7y = (9 + 3y) + -4

Reorder the terms:
48 + 7y = 9 + -4 + 3y

Combine like terms: 9 + -4 = 5
48 + 7y = 5 + 3y

Solving
48 + 7y = 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.
48 + 7y + -3y = 5 + 3y + -3y

Combine like terms: 7y + -3y = 4y
48 + 4y = 5 + 3y + -3y

Combine like terms: 3y + -3y = 0
48 + 4y = 5 + 0
48 + 4y = 5

Add '-48' to each side of the equation.
48 + -48 + 4y = 5 + -48

Combine like terms: 48 + -48 = 0
0 + 4y = 5 + -48
4y = 5 + -48

Combine like terms: 5 + -48 = -43
4y = -43

Divide each side by '4'.
y = -10.75

Simplifying
y = -10.75

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