12(3+y)=13(2y+8)

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Solution for 12(3+y)=13(2y+8) equation: 


Simplifying
12(3 + y) = 13(2y + 8)
(3 * 12 + y * 12) = 13(2y + 8)
(36 + 12y) = 13(2y + 8)

Reorder the terms:
36 + 12y = 13(8 + 2y)
36 + 12y = (8 * 13 + 2y * 13)
36 + 12y = (104 + 26y)

Solving
36 + 12y = 104 + 26y

Solving for variable 'y'.

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

Add '-26y' to each side of the equation.
36 + 12y + -26y = 104 + 26y + -26y

Combine like terms: 12y + -26y = -14y
36 + -14y = 104 + 26y + -26y

Combine like terms: 26y + -26y = 0
36 + -14y = 104 + 0
36 + -14y = 104

Add '-36' to each side of the equation.
36 + -36 + -14y = 104 + -36

Combine like terms: 36 + -36 = 0
0 + -14y = 104 + -36
-14y = 104 + -36

Combine like terms: 104 + -36 = 68
-14y = 68

Divide each side by '-14'.
y = -4.857142857

Simplifying
y = -4.857142857

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