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

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


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

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

Reorder the terms:
11 + 2y = -3(3 + 2y)
11 + 2y = (3 * -3 + 2y * -3)
11 + 2y = (-9 + -6y)

Solving
11 + 2y = -9 + -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.
11 + 2y + 6y = -9 + -6y + 6y

Combine like terms: 2y + 6y = 8y
11 + 8y = -9 + -6y + 6y

Combine like terms: -6y + 6y = 0
11 + 8y = -9 + 0
11 + 8y = -9

Add '-11' to each side of the equation.
11 + -11 + 8y = -9 + -11

Combine like terms: 11 + -11 = 0
0 + 8y = -9 + -11
8y = -9 + -11

Combine like terms: -9 + -11 = -20
8y = -20

Divide each side by '8'.
y = -2.5

Simplifying
y = -2.5

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