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

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


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

Reorder the terms:
-1(11 + -1y) + -5y = -1(2y + -9)
(11 * -1 + -1y * -1) + -5y = -1(2y + -9)
(-11 + 1y) + -5y = -1(2y + -9)

Combine like terms: 1y + -5y = -4y
-11 + -4y = -1(2y + -9)

Reorder the terms:
-11 + -4y = -1(-9 + 2y)
-11 + -4y = (-9 * -1 + 2y * -1)
-11 + -4y = (9 + -2y)

Solving
-11 + -4y = 9 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-11 + -4y + 2y = 9 + -2y + 2y

Combine like terms: -4y + 2y = -2y
-11 + -2y = 9 + -2y + 2y

Combine like terms: -2y + 2y = 0
-11 + -2y = 9 + 0
-11 + -2y = 9

Add '11' to each side of the equation.
-11 + 11 + -2y = 9 + 11

Combine like terms: -11 + 11 = 0
0 + -2y = 9 + 11
-2y = 9 + 11

Combine like terms: 9 + 11 = 20
-2y = 20

Divide each side by '-2'.
y = -10

Simplifying
y = -10

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