2y+11=-3(y+6)

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


Simplifying
2y + 11 = -3(y + 6)

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

Reorder the terms:
11 + 2y = -3(6 + y)
11 + 2y = (6 * -3 + y * -3)
11 + 2y = (-18 + -3y)

Solving
11 + 2y = -18 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
11 + 2y + 3y = -18 + -3y + 3y

Combine like terms: 2y + 3y = 5y
11 + 5y = -18 + -3y + 3y

Combine like terms: -3y + 3y = 0
11 + 5y = -18 + 0
11 + 5y = -18

Add '-11' to each side of the equation.
11 + -11 + 5y = -18 + -11

Combine like terms: 11 + -11 = 0
0 + 5y = -18 + -11
5y = -18 + -11

Combine like terms: -18 + -11 = -29
5y = -29

Divide each side by '5'.
y = -5.8

Simplifying
y = -5.8

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