2(12y+15)=y+(31-5y)

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Solution for 2(12y+15)=y+(31-5y) equation: 


Simplifying
2(12y + 15) = y + (31 + -5y)

Reorder the terms:
2(15 + 12y) = y + (31 + -5y)
(15 * 2 + 12y * 2) = y + (31 + -5y)
(30 + 24y) = y + (31 + -5y)

Remove parenthesis around (31 + -5y)
30 + 24y = y + 31 + -5y

Reorder the terms:
30 + 24y = 31 + y + -5y

Combine like terms: y + -5y = -4y
30 + 24y = 31 + -4y

Solving
30 + 24y = 31 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
30 + 24y + 4y = 31 + -4y + 4y

Combine like terms: 24y + 4y = 28y
30 + 28y = 31 + -4y + 4y

Combine like terms: -4y + 4y = 0
30 + 28y = 31 + 0
30 + 28y = 31

Add '-30' to each side of the equation.
30 + -30 + 28y = 31 + -30

Combine like terms: 30 + -30 = 0
0 + 28y = 31 + -30
28y = 31 + -30

Combine like terms: 31 + -30 = 1
28y = 1

Divide each side by '28'.
y = 0.03571428571

Simplifying
y = 0.03571428571

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