6y-5=-3(2y-1)

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Solution for 6y-5=-3(2y-1) equation:


Simplifying
6y + -5 = -3(2y + -1)

Reorder the terms:
-5 + 6y = -3(2y + -1)

Reorder the terms:
-5 + 6y = -3(-1 + 2y)
-5 + 6y = (-1 * -3 + 2y * -3)
-5 + 6y = (3 + -6y)

Solving
-5 + 6y = 3 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
-5 + 6y + 6y = 3 + -6y + 6y

Combine like terms: 6y + 6y = 12y
-5 + 12y = 3 + -6y + 6y

Combine like terms: -6y + 6y = 0
-5 + 12y = 3 + 0
-5 + 12y = 3

Add '5' to each side of the equation.
-5 + 5 + 12y = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 12y = 3 + 5
12y = 3 + 5

Combine like terms: 3 + 5 = 8
12y = 8

Divide each side by '12'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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