9(y+2)+Y=3(y+3)-4

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Solution for 9(y+2)+Y=3(y+3)-4 equation: 


Simplifying
9(y + 2) + Y = 3(y + 3) + -4

Reorder the terms:
9(2 + y) + Y = 3(y + 3) + -4
(2 * 9 + y * 9) + Y = 3(y + 3) + -4
(18 + 9y) + Y = 3(y + 3) + -4

Reorder the terms:
18 + Y + 9y = 3(y + 3) + -4

Reorder the terms:
18 + Y + 9y = 3(3 + y) + -4
18 + Y + 9y = (3 * 3 + y * 3) + -4
18 + Y + 9y = (9 + 3y) + -4

Reorder the terms:
18 + Y + 9y = 9 + -4 + 3y

Combine like terms: 9 + -4 = 5
18 + Y + 9y = 5 + 3y

Solving
18 + Y + 9y = 5 + 3y

Solving for variable 'Y'.

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

Add '-18' to each side of the equation.
18 + Y + -18 + 9y = 5 + -18 + 3y

Reorder the terms:
18 + -18 + Y + 9y = 5 + -18 + 3y

Combine like terms: 18 + -18 = 0
0 + Y + 9y = 5 + -18 + 3y
Y + 9y = 5 + -18 + 3y

Combine like terms: 5 + -18 = -13
Y + 9y = -13 + 3y

Add '-9y' to each side of the equation.
Y + 9y + -9y = -13 + 3y + -9y

Combine like terms: 9y + -9y = 0
Y + 0 = -13 + 3y + -9y
Y = -13 + 3y + -9y

Combine like terms: 3y + -9y = -6y
Y = -13 + -6y

Simplifying
Y = -13 + -6y

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