9(Y+4)+Y=4(Y+4)-4

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


Simplifying
9(Y + 4) + Y = 4(Y + 4) + -4

Reorder the terms:
9(4 + Y) + Y = 4(Y + 4) + -4
(4 * 9 + Y * 9) + Y = 4(Y + 4) + -4
(36 + 9Y) + Y = 4(Y + 4) + -4

Combine like terms: 9Y + Y = 10Y
36 + 10Y = 4(Y + 4) + -4

Reorder the terms:
36 + 10Y = 4(4 + Y) + -4
36 + 10Y = (4 * 4 + Y * 4) + -4
36 + 10Y = (16 + 4Y) + -4

Reorder the terms:
36 + 10Y = 16 + -4 + 4Y

Combine like terms: 16 + -4 = 12
36 + 10Y = 12 + 4Y

Solving
36 + 10Y = 12 + 4Y

Solving for variable 'Y'.

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

Add '-4Y' to each side of the equation.
36 + 10Y + -4Y = 12 + 4Y + -4Y

Combine like terms: 10Y + -4Y = 6Y
36 + 6Y = 12 + 4Y + -4Y

Combine like terms: 4Y + -4Y = 0
36 + 6Y = 12 + 0
36 + 6Y = 12

Add '-36' to each side of the equation.
36 + -36 + 6Y = 12 + -36

Combine like terms: 36 + -36 = 0
0 + 6Y = 12 + -36
6Y = 12 + -36

Combine like terms: 12 + -36 = -24
6Y = -24

Divide each side by '6'.
Y = -4

Simplifying
Y = -4

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