-y-1=-5(y-4)

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Solution for -y-1=-5(y-4) equation: 


Simplifying
-1y + -1 = -5(y + -4)

Reorder the terms:
-1 + -1y = -5(y + -4)

Reorder the terms:
-1 + -1y = -5(-4 + y)
-1 + -1y = (-4 * -5 + y * -5)
-1 + -1y = (20 + -5y)

Solving
-1 + -1y = 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.
-1 + -1y + 5y = 20 + -5y + 5y

Combine like terms: -1y + 5y = 4y
-1 + 4y = 20 + -5y + 5y

Combine like terms: -5y + 5y = 0
-1 + 4y = 20 + 0
-1 + 4y = 20

Add '1' to each side of the equation.
-1 + 1 + 4y = 20 + 1

Combine like terms: -1 + 1 = 0
0 + 4y = 20 + 1
4y = 20 + 1

Combine like terms: 20 + 1 = 21
4y = 21

Divide each side by '4'.
y = 5.25

Simplifying
y = 5.25

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