29=(2y+4)+(3y-5)+y

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Solution for 29=(2y+4)+(3y-5)+y equation:


Simplifying
29 = (2y + 4) + (3y + -5) + y

Reorder the terms:
29 = (4 + 2y) + (3y + -5) + y

Remove parenthesis around (4 + 2y)
29 = 4 + 2y + (3y + -5) + y

Reorder the terms:
29 = 4 + 2y + (-5 + 3y) + y

Remove parenthesis around (-5 + 3y)
29 = 4 + 2y + -5 + 3y + y

Reorder the terms:
29 = 4 + -5 + 2y + 3y + y

Combine like terms: 4 + -5 = -1
29 = -1 + 2y + 3y + y

Combine like terms: 2y + 3y = 5y
29 = -1 + 5y + y

Combine like terms: 5y + y = 6y
29 = -1 + 6y

Solving
29 = -1 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
29 + -6y = -1 + 6y + -6y

Combine like terms: 6y + -6y = 0
29 + -6y = -1 + 0
29 + -6y = -1

Add '-29' to each side of the equation.
29 + -29 + -6y = -1 + -29

Combine like terms: 29 + -29 = 0
0 + -6y = -1 + -29
-6y = -1 + -29

Combine like terms: -1 + -29 = -30
-6y = -30

Divide each side by '-6'.
y = 5

Simplifying
y = 5

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