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

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


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

Reorder the terms:
3(4 + y) = 4(y + -8)
(4 * 3 + y * 3) = 4(y + -8)
(12 + 3y) = 4(y + -8)

Reorder the terms:
12 + 3y = 4(-8 + y)
12 + 3y = (-8 * 4 + y * 4)
12 + 3y = (-32 + 4y)

Solving
12 + 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.
12 + 3y + -4y = -32 + 4y + -4y

Combine like terms: 3y + -4y = -1y
12 + -1y = -32 + 4y + -4y

Combine like terms: 4y + -4y = 0
12 + -1y = -32 + 0
12 + -1y = -32

Add '-12' to each side of the equation.
12 + -12 + -1y = -32 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = -32 + -12
-1y = -32 + -12

Combine like terms: -32 + -12 = -44
-1y = -44

Divide each side by '-1'.
y = 44

Simplifying
y = 44

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