2(3Y+11)=5(3y+9)

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Solution for 2(3Y+11)=5(3y+9) equation:


Simplifying
2(3Y + 11) = 5(3y + 9)

Reorder the terms:
2(11 + 3Y) = 5(3y + 9)
(11 * 2 + 3Y * 2) = 5(3y + 9)
(22 + 6Y) = 5(3y + 9)

Reorder the terms:
22 + 6Y = 5(9 + 3y)
22 + 6Y = (9 * 5 + 3y * 5)
22 + 6Y = (45 + 15y)

Solving
22 + 6Y = 45 + 15y

Solving for variable 'Y'.

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

Add '-22' to each side of the equation.
22 + -22 + 6Y = 45 + -22 + 15y

Combine like terms: 22 + -22 = 0
0 + 6Y = 45 + -22 + 15y
6Y = 45 + -22 + 15y

Combine like terms: 45 + -22 = 23
6Y = 23 + 15y

Divide each side by '6'.
Y = 3.833333333 + 2.5y

Simplifying
Y = 3.833333333 + 2.5y

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