3y+11=-4(y+6)

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Solution for 3y+11=-4(y+6) equation: 


Simplifying
3y + 11 = -4(y + 6)

Reorder the terms:
11 + 3y = -4(y + 6)

Reorder the terms:
11 + 3y = -4(6 + y)
11 + 3y = (6 * -4 + y * -4)
11 + 3y = (-24 + -4y)

Solving
11 + 3y = -24 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
11 + 3y + 4y = -24 + -4y + 4y

Combine like terms: 3y + 4y = 7y
11 + 7y = -24 + -4y + 4y

Combine like terms: -4y + 4y = 0
11 + 7y = -24 + 0
11 + 7y = -24

Add '-11' to each side of the equation.
11 + -11 + 7y = -24 + -11

Combine like terms: 11 + -11 = 0
0 + 7y = -24 + -11
7y = -24 + -11

Combine like terms: -24 + -11 = -35
7y = -35

Divide each side by '7'.
y = -5

Simplifying
y = -5

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