12(3+y)=5(2y+3)

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Solution for 12(3+y)=5(2y+3) equation: 


Simplifying
12(3 + y) = 5(2y + 3)
(3 * 12 + y * 12) = 5(2y + 3)
(36 + 12y) = 5(2y + 3)

Reorder the terms:
36 + 12y = 5(3 + 2y)
36 + 12y = (3 * 5 + 2y * 5)
36 + 12y = (15 + 10y)

Solving
36 + 12y = 15 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
36 + 12y + -10y = 15 + 10y + -10y

Combine like terms: 12y + -10y = 2y
36 + 2y = 15 + 10y + -10y

Combine like terms: 10y + -10y = 0
36 + 2y = 15 + 0
36 + 2y = 15

Add '-36' to each side of the equation.
36 + -36 + 2y = 15 + -36

Combine like terms: 36 + -36 = 0
0 + 2y = 15 + -36
2y = 15 + -36

Combine like terms: 15 + -36 = -21
2y = -21

Divide each side by '2'.
y = -10.5

Simplifying
y = -10.5

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