3y+7=6y-11

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Solution for 3y+7=6y-11 equation:


Simplifying
3y + 7 = 6y + -11

Reorder the terms:
7 + 3y = 6y + -11

Reorder the terms:
7 + 3y = -11 + 6y

Solving
7 + 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.
7 + 3y + -6y = -11 + 6y + -6y

Combine like terms: 3y + -6y = -3y
7 + -3y = -11 + 6y + -6y

Combine like terms: 6y + -6y = 0
7 + -3y = -11 + 0
7 + -3y = -11

Add '-7' to each side of the equation.
7 + -7 + -3y = -11 + -7

Combine like terms: 7 + -7 = 0
0 + -3y = -11 + -7
-3y = -11 + -7

Combine like terms: -11 + -7 = -18
-3y = -18

Divide each side by '-3'.
y = 6

Simplifying
y = 6

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