-5Y+11=-4(2Y+4)

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Solution for -5Y+11=-4(2Y+4) equation:


Simplifying
-5Y + 11 = -4(2Y + 4)

Reorder the terms:
11 + -5Y = -4(2Y + 4)

Reorder the terms:
11 + -5Y = -4(4 + 2Y)
11 + -5Y = (4 * -4 + 2Y * -4)
11 + -5Y = (-16 + -8Y)

Solving
11 + -5Y = -16 + -8Y

Solving for variable 'Y'.

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

Add '8Y' to each side of the equation.
11 + -5Y + 8Y = -16 + -8Y + 8Y

Combine like terms: -5Y + 8Y = 3Y
11 + 3Y = -16 + -8Y + 8Y

Combine like terms: -8Y + 8Y = 0
11 + 3Y = -16 + 0
11 + 3Y = -16

Add '-11' to each side of the equation.
11 + -11 + 3Y = -16 + -11

Combine like terms: 11 + -11 = 0
0 + 3Y = -16 + -11
3Y = -16 + -11

Combine like terms: -16 + -11 = -27
3Y = -27

Divide each side by '3'.
Y = -9

Simplifying
Y = -9

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