2y+13=6y-19

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Solution for 2y+13=6y-19 equation:


Simplifying
2y + 13 = 6y + -19

Reorder the terms:
13 + 2y = 6y + -19

Reorder the terms:
13 + 2y = -19 + 6y

Solving
13 + 2y = -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.
13 + 2y + -6y = -19 + 6y + -6y

Combine like terms: 2y + -6y = -4y
13 + -4y = -19 + 6y + -6y

Combine like terms: 6y + -6y = 0
13 + -4y = -19 + 0
13 + -4y = -19

Add '-13' to each side of the equation.
13 + -13 + -4y = -19 + -13

Combine like terms: 13 + -13 = 0
0 + -4y = -19 + -13
-4y = -19 + -13

Combine like terms: -19 + -13 = -32
-4y = -32

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

Simplifying
y = 8

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