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

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


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

Reorder the terms:
-4(-3 + 4y) + -1y = -3(y + -2)
(-3 * -4 + 4y * -4) + -1y = -3(y + -2)
(12 + -16y) + -1y = -3(y + -2)

Combine like terms: -16y + -1y = -17y
12 + -17y = -3(y + -2)

Reorder the terms:
12 + -17y = -3(-2 + y)
12 + -17y = (-2 * -3 + y * -3)
12 + -17y = (6 + -3y)

Solving
12 + -17y = 6 + -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.
12 + -17y + 3y = 6 + -3y + 3y

Combine like terms: -17y + 3y = -14y
12 + -14y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
12 + -14y = 6 + 0
12 + -14y = 6

Add '-12' to each side of the equation.
12 + -12 + -14y = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -14y = 6 + -12
-14y = 6 + -12

Combine like terms: 6 + -12 = -6
-14y = -6

Divide each side by '-14'.
y = 0.4285714286

Simplifying
y = 0.4285714286

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