8(3-4y)-3(2y-3)=-24-24y

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Solution for 8(3-4y)-3(2y-3)=-24-24y equation: 


Simplifying
8(3 + -4y) + -3(2y + -3) = -24 + -24y
(3 * 8 + -4y * 8) + -3(2y + -3) = -24 + -24y
(24 + -32y) + -3(2y + -3) = -24 + -24y

Reorder the terms:
24 + -32y + -3(-3 + 2y) = -24 + -24y
24 + -32y + (-3 * -3 + 2y * -3) = -24 + -24y
24 + -32y + (9 + -6y) = -24 + -24y

Reorder the terms:
24 + 9 + -32y + -6y = -24 + -24y

Combine like terms: 24 + 9 = 33
33 + -32y + -6y = -24 + -24y

Combine like terms: -32y + -6y = -38y
33 + -38y = -24 + -24y

Solving
33 + -38y = -24 + -24y

Solving for variable 'y'.

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

Add '24y' to each side of the equation.
33 + -38y + 24y = -24 + -24y + 24y

Combine like terms: -38y + 24y = -14y
33 + -14y = -24 + -24y + 24y

Combine like terms: -24y + 24y = 0
33 + -14y = -24 + 0
33 + -14y = -24

Add '-33' to each side of the equation.
33 + -33 + -14y = -24 + -33

Combine like terms: 33 + -33 = 0
0 + -14y = -24 + -33
-14y = -24 + -33

Combine like terms: -24 + -33 = -57
-14y = -57

Divide each side by '-14'.
y = 4.071428571

Simplifying
y = 4.071428571

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