y+11-7y=-5(y-4)

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Solution for y+11-7y=-5(y-4) equation: 


Simplifying
y + 11 + -7y = -5(y + -4)

Reorder the terms:
11 + y + -7y = -5(y + -4)

Combine like terms: y + -7y = -6y
11 + -6y = -5(y + -4)

Reorder the terms:
11 + -6y = -5(-4 + y)
11 + -6y = (-4 * -5 + y * -5)
11 + -6y = (20 + -5y)

Solving
11 + -6y = 20 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
11 + -6y + 5y = 20 + -5y + 5y

Combine like terms: -6y + 5y = -1y
11 + -1y = 20 + -5y + 5y

Combine like terms: -5y + 5y = 0
11 + -1y = 20 + 0
11 + -1y = 20

Add '-11' to each side of the equation.
11 + -11 + -1y = 20 + -11

Combine like terms: 11 + -11 = 0
0 + -1y = 20 + -11
-1y = 20 + -11

Combine like terms: 20 + -11 = 9
-1y = 9

Divide each side by '-1'.
y = -9

Simplifying
y = -9

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