9(3+Y)-16=8(Y+4)+5

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Solution for 9(3+Y)-16=8(Y+4)+5 equation: 


Simplifying
9(3 + Y) + -16 = 8(Y + 4) + 5
(3 * 9 + Y * 9) + -16 = 8(Y + 4) + 5
(27 + 9Y) + -16 = 8(Y + 4) + 5

Reorder the terms:
27 + -16 + 9Y = 8(Y + 4) + 5

Combine like terms: 27 + -16 = 11
11 + 9Y = 8(Y + 4) + 5

Reorder the terms:
11 + 9Y = 8(4 + Y) + 5
11 + 9Y = (4 * 8 + Y * 8) + 5
11 + 9Y = (32 + 8Y) + 5

Reorder the terms:
11 + 9Y = 32 + 5 + 8Y

Combine like terms: 32 + 5 = 37
11 + 9Y = 37 + 8Y

Solving
11 + 9Y = 37 + 8Y

Solving for variable 'Y'.

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

Add '-8Y' to each side of the equation.
11 + 9Y + -8Y = 37 + 8Y + -8Y

Combine like terms: 9Y + -8Y = 1Y
11 + 1Y = 37 + 8Y + -8Y

Combine like terms: 8Y + -8Y = 0
11 + 1Y = 37 + 0
11 + 1Y = 37

Add '-11' to each side of the equation.
11 + -11 + 1Y = 37 + -11

Combine like terms: 11 + -11 = 0
0 + 1Y = 37 + -11
1Y = 37 + -11

Combine like terms: 37 + -11 = 26
1Y = 26

Divide each side by '1'.
Y = 26

Simplifying
Y = 26

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