12(y+3)=5(4y+9)-8Y

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Solution for 12(y+3)=5(4y+9)-8Y equation: 


Simplifying
12(y + 3) = 5(4y + 9) + -8Y

Reorder the terms:
12(3 + y) = 5(4y + 9) + -8Y
(3 * 12 + y * 12) = 5(4y + 9) + -8Y
(36 + 12y) = 5(4y + 9) + -8Y

Reorder the terms:
36 + 12y = 5(9 + 4y) + -8Y
36 + 12y = (9 * 5 + 4y * 5) + -8Y
36 + 12y = (45 + 20y) + -8Y

Reorder the terms:
36 + 12y = 45 + -8Y + 20y

Solving
36 + 12y = 45 + -8Y + 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.
36 + 12y + -20y = 45 + -8Y + 20y + -20y

Combine like terms: 12y + -20y = -8y
36 + -8y = 45 + -8Y + 20y + -20y

Combine like terms: 20y + -20y = 0
36 + -8y = 45 + -8Y + 0
36 + -8y = 45 + -8Y

Add '-36' to each side of the equation.
36 + -36 + -8y = 45 + -36 + -8Y

Combine like terms: 36 + -36 = 0
0 + -8y = 45 + -36 + -8Y
-8y = 45 + -36 + -8Y

Combine like terms: 45 + -36 = 9
-8y = 9 + -8Y

Divide each side by '-8'.
y = -1.125 + Y

Simplifying
y = -1.125 + Y

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