(3(4y-8))2-10=65

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Solution for (3(4y-8))2-10=65 equation: 


Simplifying
(3(4y + -8)) * 2 + -10 = 65

Reorder the terms:
(3(-8 + 4y)) * 2 + -10 = 65
((-8 * 3 + 4y * 3)) * 2 + -10 = 65
((-24 + 12y)) * 2 + -10 = 65

Reorder the terms for easier multiplication:
2(-24 + 12y) + -10 = 65
(-24 * 2 + 12y * 2) + -10 = 65
(-48 + 24y) + -10 = 65

Reorder the terms:
-48 + -10 + 24y = 65

Combine like terms: -48 + -10 = -58
-58 + 24y = 65

Solving
-58 + 24y = 65

Solving for variable 'y'.

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

Add '58' to each side of the equation.
-58 + 58 + 24y = 65 + 58

Combine like terms: -58 + 58 = 0
0 + 24y = 65 + 58
24y = 65 + 58

Combine like terms: 65 + 58 = 123
24y = 123

Divide each side by '24'.
y = 5.125

Simplifying
y = 5.125

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