-2(6y-7)-y=-3(y-4)

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Solution for -2(6y-7)-y=-3(y-4) equation:


Simplifying
-2(6y + -7) + -1y = -3(y + -4)

Reorder the terms:
-2(-7 + 6y) + -1y = -3(y + -4)
(-7 * -2 + 6y * -2) + -1y = -3(y + -4)
(14 + -12y) + -1y = -3(y + -4)

Combine like terms: -12y + -1y = -13y
14 + -13y = -3(y + -4)

Reorder the terms:
14 + -13y = -3(-4 + y)
14 + -13y = (-4 * -3 + y * -3)
14 + -13y = (12 + -3y)

Solving
14 + -13y = 12 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
14 + -13y + 3y = 12 + -3y + 3y

Combine like terms: -13y + 3y = -10y
14 + -10y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
14 + -10y = 12 + 0
14 + -10y = 12

Add '-14' to each side of the equation.
14 + -14 + -10y = 12 + -14

Combine like terms: 14 + -14 = 0
0 + -10y = 12 + -14
-10y = 12 + -14

Combine like terms: 12 + -14 = -2
-10y = -2

Divide each side by '-10'.
y = 0.2

Simplifying
y = 0.2

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