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

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


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

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

Reorder the terms:
8 + -16y = 3(-3 + y)
8 + -16y = (-3 * 3 + y * 3)
8 + -16y = (-9 + 3y)

Solving
8 + -16y = -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 + -16y + -3y = -9 + 3y + -3y

Combine like terms: -16y + -3y = -19y
8 + -19y = -9 + 3y + -3y

Combine like terms: 3y + -3y = 0
8 + -19y = -9 + 0
8 + -19y = -9

Add '-8' to each side of the equation.
8 + -8 + -19y = -9 + -8

Combine like terms: 8 + -8 = 0
0 + -19y = -9 + -8
-19y = -9 + -8

Combine like terms: -9 + -8 = -17
-19y = -17

Divide each side by '-19'.
y = 0.8947368421

Simplifying
y = 0.8947368421

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