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

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


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

Reorder the terms:
-4(-2 + 4y) + -1y = -3(y + -3)
(-2 * -4 + 4y * -4) + -1y = -3(y + -3)
(8 + -16y) + -1y = -3(y + -3)

Combine like terms: -16y + -1y = -17y
8 + -17y = -3(y + -3)

Reorder the terms:
8 + -17y = -3(-3 + y)
8 + -17y = (-3 * -3 + y * -3)
8 + -17y = (9 + -3y)

Solving
8 + -17y = 9 + -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.
8 + -17y + 3y = 9 + -3y + 3y

Combine like terms: -17y + 3y = -14y
8 + -14y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
8 + -14y = 9 + 0
8 + -14y = 9

Add '-8' to each side of the equation.
8 + -8 + -14y = 9 + -8

Combine like terms: 8 + -8 = 0
0 + -14y = 9 + -8
-14y = 9 + -8

Combine like terms: 9 + -8 = 1
-14y = 1

Divide each side by '-14'.
y = -0.07142857143

Simplifying
y = -0.07142857143

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