3y+4=6y-19

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Solution for 3y+4=6y-19 equation:


Simplifying
3y + 4 = 6y + -19

Reorder the terms:
4 + 3y = 6y + -19

Reorder the terms:
4 + 3y = -19 + 6y

Solving
4 + 3y = -19 + 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.
4 + 3y + -6y = -19 + 6y + -6y

Combine like terms: 3y + -6y = -3y
4 + -3y = -19 + 6y + -6y

Combine like terms: 6y + -6y = 0
4 + -3y = -19 + 0
4 + -3y = -19

Add '-4' to each side of the equation.
4 + -4 + -3y = -19 + -4

Combine like terms: 4 + -4 = 0
0 + -3y = -19 + -4
-3y = -19 + -4

Combine like terms: -19 + -4 = -23
-3y = -23

Divide each side by '-3'.
y = 7.666666667

Simplifying
y = 7.666666667

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