8(y+4)=2(3y+4)

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


Simplifying
8(y + 4) = 2(3y + 4)

Reorder the terms:
8(4 + y) = 2(3y + 4)
(4 * 8 + y * 8) = 2(3y + 4)
(32 + 8y) = 2(3y + 4)

Reorder the terms:
32 + 8y = 2(4 + 3y)
32 + 8y = (4 * 2 + 3y * 2)
32 + 8y = (8 + 6y)

Solving
32 + 8y = 8 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
32 + 8y + -6y = 8 + 6y + -6y

Combine like terms: 8y + -6y = 2y
32 + 2y = 8 + 6y + -6y

Combine like terms: 6y + -6y = 0
32 + 2y = 8 + 0
32 + 2y = 8

Add '-32' to each side of the equation.
32 + -32 + 2y = 8 + -32

Combine like terms: 32 + -32 = 0
0 + 2y = 8 + -32
2y = 8 + -32

Combine like terms: 8 + -32 = -24
2y = -24

Divide each side by '2'.
y = -12

Simplifying
y = -12

 

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