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)

Remove parenthesis around (15 + 12y)
2 + 15 + 12y = y + (31 + -5y)

Combine like terms: 2 + 15 = 17
17 + 12y = y + (31 + -5y)

Remove parenthesis around (31 + -5y)
17 + 12y = y + 31 + -5y

Reorder the terms:
17 + 12y = 31 + y + -5y

Combine like terms: y + -5y = -4y
17 + 12y = 31 + -4y

Solving
17 + 12y = 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.
17 + 12y + 4y = 31 + -4y + 4y

Combine like terms: 12y + 4y = 16y
17 + 16y = 31 + -4y + 4y

Combine like terms: -4y + 4y = 0
17 + 16y = 31 + 0
17 + 16y = 31

Add '-17' to each side of the equation.
17 + -17 + 16y = 31 + -17

Combine like terms: 17 + -17 = 0
0 + 16y = 31 + -17
16y = 31 + -17

Combine like terms: 31 + -17 = 14
16y = 14

Divide each side by '16'.
y = 0.875

Simplifying
y = 0.875

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