3(3y+1)=(13-5y)

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Solution for 3(3y+1)=(13-5y) equation:


Simplifying
3(3y + 1) = (13 + -5y)

Reorder the terms:
3(1 + 3y) = (13 + -5y)
(1 * 3 + 3y * 3) = (13 + -5y)
(3 + 9y) = (13 + -5y)

Remove parenthesis around (13 + -5y)
3 + 9y = 13 + -5y

Solving
3 + 9y = 13 + -5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '5y' to each side of the equation.
3 + 9y + 5y = 13 + -5y + 5y

Combine like terms: 9y + 5y = 14y
3 + 14y = 13 + -5y + 5y

Combine like terms: -5y + 5y = 0
3 + 14y = 13 + 0
3 + 14y = 13

Add '-3' to each side of the equation.
3 + -3 + 14y = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 14y = 13 + -3
14y = 13 + -3

Combine like terms: 13 + -3 = 10
14y = 10

Divide each side by '14'.
y = 0.7142857143

Simplifying
y = 0.7142857143

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