3(6Y+1)+8=5(4Y+5)+6

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Solution for 3(6Y+1)+8=5(4Y+5)+6 equation: 


Simplifying
3(6Y + 1) + 8 = 5(4Y + 5) + 6

Reorder the terms:
3(1 + 6Y) + 8 = 5(4Y + 5) + 6
(1 * 3 + 6Y * 3) + 8 = 5(4Y + 5) + 6
(3 + 18Y) + 8 = 5(4Y + 5) + 6

Reorder the terms:
3 + 8 + 18Y = 5(4Y + 5) + 6

Combine like terms: 3 + 8 = 11
11 + 18Y = 5(4Y + 5) + 6

Reorder the terms:
11 + 18Y = 5(5 + 4Y) + 6
11 + 18Y = (5 * 5 + 4Y * 5) + 6
11 + 18Y = (25 + 20Y) + 6

Reorder the terms:
11 + 18Y = 25 + 6 + 20Y

Combine like terms: 25 + 6 = 31
11 + 18Y = 31 + 20Y

Solving
11 + 18Y = 31 + 20Y

Solving for variable 'Y'.

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

Add '-20Y' to each side of the equation.
11 + 18Y + -20Y = 31 + 20Y + -20Y

Combine like terms: 18Y + -20Y = -2Y
11 + -2Y = 31 + 20Y + -20Y

Combine like terms: 20Y + -20Y = 0
11 + -2Y = 31 + 0
11 + -2Y = 31

Add '-11' to each side of the equation.
11 + -11 + -2Y = 31 + -11

Combine like terms: 11 + -11 = 0
0 + -2Y = 31 + -11
-2Y = 31 + -11

Combine like terms: 31 + -11 = 20
-2Y = 20

Divide each side by '-2'.
Y = -10

Simplifying
Y = -10

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