2(y-1)=5(y+6)-5

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Solution for 2(y-1)=5(y+6)-5 equation: 


Simplifying
2(y + -1) = 5(y + 6) + -5

Reorder the terms:
2(-1 + y) = 5(y + 6) + -5
(-1 * 2 + y * 2) = 5(y + 6) + -5
(-2 + 2y) = 5(y + 6) + -5

Reorder the terms:
-2 + 2y = 5(6 + y) + -5
-2 + 2y = (6 * 5 + y * 5) + -5
-2 + 2y = (30 + 5y) + -5

Reorder the terms:
-2 + 2y = 30 + -5 + 5y

Combine like terms: 30 + -5 = 25
-2 + 2y = 25 + 5y

Solving
-2 + 2y = 25 + 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.
-2 + 2y + -5y = 25 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-2 + -3y = 25 + 5y + -5y

Combine like terms: 5y + -5y = 0
-2 + -3y = 25 + 0
-2 + -3y = 25

Add '2' to each side of the equation.
-2 + 2 + -3y = 25 + 2

Combine like terms: -2 + 2 = 0
0 + -3y = 25 + 2
-3y = 25 + 2

Combine like terms: 25 + 2 = 27
-3y = 27

Divide each side by '-3'.
y = -9

Simplifying
y = -9

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