3y+2=6y-11

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Solution for 3y+2=6y-11 equation:


Simplifying
3y + 2 = 6y + -11

Reorder the terms:
2 + 3y = 6y + -11

Reorder the terms:
2 + 3y = -11 + 6y

Solving
2 + 3y = -11 + 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.
2 + 3y + -6y = -11 + 6y + -6y

Combine like terms: 3y + -6y = -3y
2 + -3y = -11 + 6y + -6y

Combine like terms: 6y + -6y = 0
2 + -3y = -11 + 0
2 + -3y = -11

Add '-2' to each side of the equation.
2 + -2 + -3y = -11 + -2

Combine like terms: 2 + -2 = 0
0 + -3y = -11 + -2
-3y = -11 + -2

Combine like terms: -11 + -2 = -13
-3y = -13

Divide each side by '-3'.
y = 4.333333333

Simplifying
y = 4.333333333

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