9-2(3y-4)=6y-1

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Solution for 9-2(3y-4)=6y-1 equation:


Simplifying
9 + -2(3y + -4) = 6y + -1

Reorder the terms:
9 + -2(-4 + 3y) = 6y + -1
9 + (-4 * -2 + 3y * -2) = 6y + -1
9 + (8 + -6y) = 6y + -1

Combine like terms: 9 + 8 = 17
17 + -6y = 6y + -1

Reorder the terms:
17 + -6y = -1 + 6y

Solving
17 + -6y = -1 + 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.
17 + -6y + -6y = -1 + 6y + -6y

Combine like terms: -6y + -6y = -12y
17 + -12y = -1 + 6y + -6y

Combine like terms: 6y + -6y = 0
17 + -12y = -1 + 0
17 + -12y = -1

Add '-17' to each side of the equation.
17 + -17 + -12y = -1 + -17

Combine like terms: 17 + -17 = 0
0 + -12y = -1 + -17
-12y = -1 + -17

Combine like terms: -1 + -17 = -18
-12y = -18

Divide each side by '-12'.
y = 1.5

Simplifying
y = 1.5

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