6(y+8)+y=3(y+5)-5

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Solution for 6(y+8)+y=3(y+5)-5 equation: 


Simplifying
6(y + 8) + y = 3(y + 5) + -5

Reorder the terms:
6(8 + y) + y = 3(y + 5) + -5
(8 * 6 + y * 6) + y = 3(y + 5) + -5
(48 + 6y) + y = 3(y + 5) + -5

Combine like terms: 6y + y = 7y
48 + 7y = 3(y + 5) + -5

Reorder the terms:
48 + 7y = 3(5 + y) + -5
48 + 7y = (5 * 3 + y * 3) + -5
48 + 7y = (15 + 3y) + -5

Reorder the terms:
48 + 7y = 15 + -5 + 3y

Combine like terms: 15 + -5 = 10
48 + 7y = 10 + 3y

Solving
48 + 7y = 10 + 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 = 10 + 3y + -3y

Combine like terms: 7y + -3y = 4y
48 + 4y = 10 + 3y + -3y

Combine like terms: 3y + -3y = 0
48 + 4y = 10 + 0
48 + 4y = 10

Add '-48' to each side of the equation.
48 + -48 + 4y = 10 + -48

Combine like terms: 48 + -48 = 0
0 + 4y = 10 + -48
4y = 10 + -48

Combine like terms: 10 + -48 = -38
4y = -38

Divide each side by '4'.
y = -9.5

Simplifying
y = -9.5

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