4-(12y+15)=y+(31-5y)

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Solution for 4-(12y+15)=y+(31-5y) equation: 


Simplifying
4 + -1(12y + 15) = y + (31 + -5y)

Reorder the terms:
4 + -1(15 + 12y) = y + (31 + -5y)
4 + (15 * -1 + 12y * -1) = y + (31 + -5y)
4 + (-15 + -12y) = y + (31 + -5y)

Combine like terms: 4 + -15 = -11
-11 + -12y = y + (31 + -5y)

Remove parenthesis around (31 + -5y)
-11 + -12y = y + 31 + -5y

Reorder the terms:
-11 + -12y = 31 + y + -5y

Combine like terms: y + -5y = -4y
-11 + -12y = 31 + -4y

Solving
-11 + -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.
-11 + -12y + 4y = 31 + -4y + 4y

Combine like terms: -12y + 4y = -8y
-11 + -8y = 31 + -4y + 4y

Combine like terms: -4y + 4y = 0
-11 + -8y = 31 + 0
-11 + -8y = 31

Add '11' to each side of the equation.
-11 + 11 + -8y = 31 + 11

Combine like terms: -11 + 11 = 0
0 + -8y = 31 + 11
-8y = 31 + 11

Combine like terms: 31 + 11 = 42
-8y = 42

Divide each side by '-8'.
y = -5.25

Simplifying
y = -5.25

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