4y+32=6(2y-4)

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Solution for 4y+32=6(2y-4) equation: 


Simplifying
4y + 32 = 6(2y + -4)

Reorder the terms:
32 + 4y = 6(2y + -4)

Reorder the terms:
32 + 4y = 6(-4 + 2y)
32 + 4y = (-4 * 6 + 2y * 6)
32 + 4y = (-24 + 12y)

Solving
32 + 4y = -24 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
32 + 4y + -12y = -24 + 12y + -12y

Combine like terms: 4y + -12y = -8y
32 + -8y = -24 + 12y + -12y

Combine like terms: 12y + -12y = 0
32 + -8y = -24 + 0
32 + -8y = -24

Add '-32' to each side of the equation.
32 + -32 + -8y = -24 + -32

Combine like terms: 32 + -32 = 0
0 + -8y = -24 + -32
-8y = -24 + -32

Combine like terms: -24 + -32 = -56
-8y = -56

Divide each side by '-8'.
y = 7

Simplifying
y = 7

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