3y-11=-5(y-1)

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Solution for 3y-11=-5(y-1) equation:


Simplifying
3y + -11 = -5(y + -1)

Reorder the terms:
-11 + 3y = -5(y + -1)

Reorder the terms:
-11 + 3y = -5(-1 + y)
-11 + 3y = (-1 * -5 + y * -5)
-11 + 3y = (5 + -5y)

Solving
-11 + 3y = 5 + -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 + 3y + 5y = 5 + -5y + 5y

Combine like terms: 3y + 5y = 8y
-11 + 8y = 5 + -5y + 5y

Combine like terms: -5y + 5y = 0
-11 + 8y = 5 + 0
-11 + 8y = 5

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

Combine like terms: -11 + 11 = 0
0 + 8y = 5 + 11
8y = 5 + 11

Combine like terms: 5 + 11 = 16
8y = 16

Divide each side by '8'.
y = 2

Simplifying
y = 2

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