9(y+3)=12(y+5)

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Solution for 9(y+3)=12(y+5) equation:


Simplifying
9(y + 3) = 12(y + 5)

Reorder the terms:
9(3 + y) = 12(y + 5)
(3 * 9 + y * 9) = 12(y + 5)
(27 + 9y) = 12(y + 5)

Reorder the terms:
27 + 9y = 12(5 + y)
27 + 9y = (5 * 12 + y * 12)
27 + 9y = (60 + 12y)

Solving
27 + 9y = 60 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
27 + 9y + -12y = 60 + 12y + -12y

Combine like terms: 9y + -12y = -3y
27 + -3y = 60 + 12y + -12y

Combine like terms: 12y + -12y = 0
27 + -3y = 60 + 0
27 + -3y = 60

Add '-27' to each side of the equation.
27 + -27 + -3y = 60 + -27

Combine like terms: 27 + -27 = 0
0 + -3y = 60 + -27
-3y = 60 + -27

Combine like terms: 60 + -27 = 33
-3y = 33

Divide each side by '-3'.
y = -11

Simplifying
y = -11

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