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

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


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

Remove parenthesis around (5 + 6y)
3y + 5 + 6y = 3y + -5

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

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

Reorder the terms:
5 + 9y = -5 + 3y

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

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

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

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

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

Combine like terms: -5 + -5 = -10
6y = -10

Divide each side by '6'.
y = -1.666666667

Simplifying
y = -1.666666667

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