2(11-y)=5y+4(-2y-9)

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Solution for 2(11-y)=5y+4(-2y-9) equation: 


Simplifying
2(11 + -1y) = 5y + 4(-2y + -9)
(11 * 2 + -1y * 2) = 5y + 4(-2y + -9)
(22 + -2y) = 5y + 4(-2y + -9)

Reorder the terms:
22 + -2y = 5y + 4(-9 + -2y)
22 + -2y = 5y + (-9 * 4 + -2y * 4)
22 + -2y = 5y + (-36 + -8y)

Reorder the terms:
22 + -2y = -36 + 5y + -8y

Combine like terms: 5y + -8y = -3y
22 + -2y = -36 + -3y

Solving
22 + -2y = -36 + -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.
22 + -2y + 3y = -36 + -3y + 3y

Combine like terms: -2y + 3y = 1y
22 + 1y = -36 + -3y + 3y

Combine like terms: -3y + 3y = 0
22 + 1y = -36 + 0
22 + 1y = -36

Add '-22' to each side of the equation.
22 + -22 + 1y = -36 + -22

Combine like terms: 22 + -22 = 0
0 + 1y = -36 + -22
1y = -36 + -22

Combine like terms: -36 + -22 = -58
1y = -58

Divide each side by '1'.
y = -58

Simplifying
y = -58

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