24-(8-10)=4(2y-8)-10

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Solution for 24-(8-10)=4(2y-8)-10 equation: 


Simplifying
24 + -1(8 + -10) = 4(2y + -8) + -10

Combine like terms: 8 + -10 = -2
24 + -1(-2) = 4(2y + -8) + -10

Multiply -1 * -2
24 + 2 = 4(2y + -8) + -10

Combine like terms: 24 + 2 = 26
26 = 4(2y + -8) + -10

Reorder the terms:
26 = 4(-8 + 2y) + -10
26 = (-8 * 4 + 2y * 4) + -10
26 = (-32 + 8y) + -10

Reorder the terms:
26 = -32 + -10 + 8y

Combine like terms: -32 + -10 = -42
26 = -42 + 8y

Solving
26 = -42 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
26 + -8y = -42 + 8y + -8y

Combine like terms: 8y + -8y = 0
26 + -8y = -42 + 0
26 + -8y = -42

Add '-26' to each side of the equation.
26 + -26 + -8y = -42 + -26

Combine like terms: 26 + -26 = 0
0 + -8y = -42 + -26
-8y = -42 + -26

Combine like terms: -42 + -26 = -68
-8y = -68

Divide each side by '-8'.
y = 8.5

Simplifying
y = 8.5

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