3(y+8)=4(y-8)

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


Simplifying
3(y + 8) = 4(y + -8)

Reorder the terms:
3(8 + y) = 4(y + -8)
(8 * 3 + y * 3) = 4(y + -8)
(24 + 3y) = 4(y + -8)

Reorder the terms:
24 + 3y = 4(-8 + y)
24 + 3y = (-8 * 4 + y * 4)
24 + 3y = (-32 + 4y)

Solving
24 + 3y = -32 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
24 + 3y + -4y = -32 + 4y + -4y

Combine like terms: 3y + -4y = -1y
24 + -1y = -32 + 4y + -4y

Combine like terms: 4y + -4y = 0
24 + -1y = -32 + 0
24 + -1y = -32

Add '-24' to each side of the equation.
24 + -24 + -1y = -32 + -24

Combine like terms: 24 + -24 = 0
0 + -1y = -32 + -24
-1y = -32 + -24

Combine like terms: -32 + -24 = -56
-1y = -56

Divide each side by '-1'.
y = 56

Simplifying
y = 56

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