6y+5+(2y+4)=12y-23

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Solution for 6y+5+(2y+4)=12y-23 equation:


Simplifying
6y + 5 + (2y + 4) = 12y + -23

Reorder the terms:
6y + 5 + (4 + 2y) = 12y + -23

Remove parenthesis around (4 + 2y)
6y + 5 + 4 + 2y = 12y + -23

Reorder the terms:
5 + 4 + 6y + 2y = 12y + -23

Combine like terms: 5 + 4 = 9
9 + 6y + 2y = 12y + -23

Combine like terms: 6y + 2y = 8y
9 + 8y = 12y + -23

Reorder the terms:
9 + 8y = -23 + 12y

Solving
9 + 8y = -23 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
9 + 8y + -12y = -23 + 12y + -12y

Combine like terms: 8y + -12y = -4y
9 + -4y = -23 + 12y + -12y

Combine like terms: 12y + -12y = 0
9 + -4y = -23 + 0
9 + -4y = -23

Add '-9' to each side of the equation.
9 + -9 + -4y = -23 + -9

Combine like terms: 9 + -9 = 0
0 + -4y = -23 + -9
-4y = -23 + -9

Combine like terms: -23 + -9 = -32
-4y = -32

Divide each side by '-4'.
y = 8

Simplifying
y = 8

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