5(y-1)=y+9-2(-6y-2)

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Solution for 5(y-1)=y+9-2(-6y-2) equation:


Simplifying
5(y + -1) = y + 9 + -2(-6y + -2)

Reorder the terms:
5(-1 + y) = y + 9 + -2(-6y + -2)
(-1 * 5 + y * 5) = y + 9 + -2(-6y + -2)
(-5 + 5y) = y + 9 + -2(-6y + -2)

Reorder the terms:
-5 + 5y = y + 9 + -2(-2 + -6y)
-5 + 5y = y + 9 + (-2 * -2 + -6y * -2)
-5 + 5y = y + 9 + (4 + 12y)

Reorder the terms:
-5 + 5y = 9 + 4 + y + 12y

Combine like terms: 9 + 4 = 13
-5 + 5y = 13 + y + 12y

Combine like terms: y + 12y = 13y
-5 + 5y = 13 + 13y

Solving
-5 + 5y = 13 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
-5 + 5y + -13y = 13 + 13y + -13y

Combine like terms: 5y + -13y = -8y
-5 + -8y = 13 + 13y + -13y

Combine like terms: 13y + -13y = 0
-5 + -8y = 13 + 0
-5 + -8y = 13

Add '5' to each side of the equation.
-5 + 5 + -8y = 13 + 5

Combine like terms: -5 + 5 = 0
0 + -8y = 13 + 5
-8y = 13 + 5

Combine like terms: 13 + 5 = 18
-8y = 18

Divide each side by '-8'.
y = -2.25

Simplifying
y = -2.25

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