9(3+Y)-16=3(Y+4)+5

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Solution for 9(3+Y)-16=3(Y+4)+5 equation: 


Simplifying
9(3 + Y) + -16 = 3(Y + 4) + 5
(3 * 9 + Y * 9) + -16 = 3(Y + 4) + 5
(27 + 9Y) + -16 = 3(Y + 4) + 5

Reorder the terms:
27 + -16 + 9Y = 3(Y + 4) + 5

Combine like terms: 27 + -16 = 11
11 + 9Y = 3(Y + 4) + 5

Reorder the terms:
11 + 9Y = 3(4 + Y) + 5
11 + 9Y = (4 * 3 + Y * 3) + 5
11 + 9Y = (12 + 3Y) + 5

Reorder the terms:
11 + 9Y = 12 + 5 + 3Y

Combine like terms: 12 + 5 = 17
11 + 9Y = 17 + 3Y

Solving
11 + 9Y = 17 + 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.
11 + 9Y + -3Y = 17 + 3Y + -3Y

Combine like terms: 9Y + -3Y = 6Y
11 + 6Y = 17 + 3Y + -3Y

Combine like terms: 3Y + -3Y = 0
11 + 6Y = 17 + 0
11 + 6Y = 17

Add '-11' to each side of the equation.
11 + -11 + 6Y = 17 + -11

Combine like terms: 11 + -11 = 0
0 + 6Y = 17 + -11
6Y = 17 + -11

Combine like terms: 17 + -11 = 6
6Y = 6

Divide each side by '6'.
Y = 1

Simplifying
Y = 1

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