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

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


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

Reorder the terms:
5(6 + y) + y = 3(y + 5) + -5
(6 * 5 + y * 5) + y = 3(y + 5) + -5
(30 + 5y) + y = 3(y + 5) + -5

Combine like terms: 5y + y = 6y
30 + 6y = 3(y + 5) + -5

Reorder the terms:
30 + 6y = 3(5 + y) + -5
30 + 6y = (5 * 3 + y * 3) + -5
30 + 6y = (15 + 3y) + -5

Reorder the terms:
30 + 6y = 15 + -5 + 3y

Combine like terms: 15 + -5 = 10
30 + 6y = 10 + 3y

Solving
30 + 6y = 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.
30 + 6y + -3y = 10 + 3y + -3y

Combine like terms: 6y + -3y = 3y
30 + 3y = 10 + 3y + -3y

Combine like terms: 3y + -3y = 0
30 + 3y = 10 + 0
30 + 3y = 10

Add '-30' to each side of the equation.
30 + -30 + 3y = 10 + -30

Combine like terms: 30 + -30 = 0
0 + 3y = 10 + -30
3y = 10 + -30

Combine like terms: 10 + -30 = -20
3y = -20

Divide each side by '3'.
y = -6.666666667

Simplifying
y = -6.666666667

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