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

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


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

Reorder the terms:
-4(-7 + 6y) + -1y = -3(y + -4)
(-7 * -4 + 6y * -4) + -1y = -3(y + -4)
(28 + -24y) + -1y = -3(y + -4)

Combine like terms: -24y + -1y = -25y
28 + -25y = -3(y + -4)

Reorder the terms:
28 + -25y = -3(-4 + y)
28 + -25y = (-4 * -3 + y * -3)
28 + -25y = (12 + -3y)

Solving
28 + -25y = 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.
28 + -25y + 3y = 12 + -3y + 3y

Combine like terms: -25y + 3y = -22y
28 + -22y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
28 + -22y = 12 + 0
28 + -22y = 12

Add '-28' to each side of the equation.
28 + -28 + -22y = 12 + -28

Combine like terms: 28 + -28 = 0
0 + -22y = 12 + -28
-22y = 12 + -28

Combine like terms: 12 + -28 = -16
-22y = -16

Divide each side by '-22'.
y = 0.7272727273

Simplifying
y = 0.7272727273

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