3y+19=6(9+y)+14

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Solution for 3y+19=6(9+y)+14 equation:


Simplifying
3y + 19 = 6(9 + y) + 14

Reorder the terms:
19 + 3y = 6(9 + y) + 14
19 + 3y = (9 * 6 + y * 6) + 14
19 + 3y = (54 + 6y) + 14

Reorder the terms:
19 + 3y = 54 + 14 + 6y

Combine like terms: 54 + 14 = 68
19 + 3y = 68 + 6y

Solving
19 + 3y = 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 + 3y + -6y = 68 + 6y + -6y

Combine like terms: 3y + -6y = -3y
19 + -3y = 68 + 6y + -6y

Combine like terms: 6y + -6y = 0
19 + -3y = 68 + 0
19 + -3y = 68

Add '-19' to each side of the equation.
19 + -19 + -3y = 68 + -19

Combine like terms: 19 + -19 = 0
0 + -3y = 68 + -19
-3y = 68 + -19

Combine like terms: 68 + -19 = 49
-3y = 49

Divide each side by '-3'.
y = -16.33333333

Simplifying
y = -16.33333333

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