13y+19=6[9+y]+14

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Solution for 13y+19=6[9+y]+14 equation:


Simplifying
13y + 19 = 6[9 + y] + 14

Reorder the terms:
19 + 13y = 6[9 + y] + 14
19 + 13y = [9 * 6 + y * 6] + 14
19 + 13y = [54 + 6y] + 14

Reorder the terms:
19 + 13y = 54 + 14 + 6y

Combine like terms: 54 + 14 = 68
19 + 13y = 68 + 6y

Solving
19 + 13y = 68 + 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.
19 + 13y + -6y = 68 + 6y + -6y

Combine like terms: 13y + -6y = 7y
19 + 7y = 68 + 6y + -6y

Combine like terms: 6y + -6y = 0
19 + 7y = 68 + 0
19 + 7y = 68

Add '-19' to each side of the equation.
19 + -19 + 7y = 68 + -19

Combine like terms: 19 + -19 = 0
0 + 7y = 68 + -19
7y = 68 + -19

Combine like terms: 68 + -19 = 49
7y = 49

Divide each side by '7'.
y = 7

Simplifying
y = 7

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