5(3y+1)=3(9-6y)

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Solution for 5(3y+1)=3(9-6y) equation:


Simplifying
5(3y + 1) = 3(9 + -6y)

Reorder the terms:
5(1 + 3y) = 3(9 + -6y)
(1 * 5 + 3y * 5) = 3(9 + -6y)
(5 + 15y) = 3(9 + -6y)
5 + 15y = (9 * 3 + -6y * 3)
5 + 15y = (27 + -18y)

Solving
5 + 15y = 27 + -18y

Solving for variable 'y'.

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

Add '18y' to each side of the equation.
5 + 15y + 18y = 27 + -18y + 18y

Combine like terms: 15y + 18y = 33y
5 + 33y = 27 + -18y + 18y

Combine like terms: -18y + 18y = 0
5 + 33y = 27 + 0
5 + 33y = 27

Add '-5' to each side of the equation.
5 + -5 + 33y = 27 + -5

Combine like terms: 5 + -5 = 0
0 + 33y = 27 + -5
33y = 27 + -5

Combine like terms: 27 + -5 = 22
33y = 22

Divide each side by '33'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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