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

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


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

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

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

Solving
32 + 2y = -8 + 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.
32 + 2y + -4y = -8 + 4y + -4y

Combine like terms: 2y + -4y = -2y
32 + -2y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 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 = -40
-2y = -40

Divide each side by '-2'.
y = 20

Simplifying
y = 20

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