2y+6=13y-12

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Solution for 2y+6=13y-12 equation:


Simplifying
2y + 6 = 13y + -12

Reorder the terms:
6 + 2y = 13y + -12

Reorder the terms:
6 + 2y = -12 + 13y

Solving
6 + 2y = -12 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
6 + 2y + -13y = -12 + 13y + -13y

Combine like terms: 2y + -13y = -11y
6 + -11y = -12 + 13y + -13y

Combine like terms: 13y + -13y = 0
6 + -11y = -12 + 0
6 + -11y = -12

Add '-6' to each side of the equation.
6 + -6 + -11y = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -11y = -12 + -6
-11y = -12 + -6

Combine like terms: -12 + -6 = -18
-11y = -18

Divide each side by '-11'.
y = 1.636363636

Simplifying
y = 1.636363636

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