-3(2y-1)+6y=4+2(3y-8)

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Solution for -3(2y-1)+6y=4+2(3y-8) equation:


Simplifying
-3(2y + -1) + 6y = 4 + 2(3y + -8)

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

Combine like terms: -6y + 6y = 0
3 + 0 = 4 + 2(3y + -8)
3 = 4 + 2(3y + -8)

Reorder the terms:
3 = 4 + 2(-8 + 3y)
3 = 4 + (-8 * 2 + 3y * 2)
3 = 4 + (-16 + 6y)

Combine like terms: 4 + -16 = -12
3 = -12 + 6y

Solving
3 = -12 + 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.
3 + -6y = -12 + 6y + -6y

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

Add '-3' to each side of the equation.
3 + -3 + -6y = -12 + -3

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

Combine like terms: -12 + -3 = -15
-6y = -15

Divide each side by '-6'.
y = 2.5

Simplifying
y = 2.5

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