32=8y+2(y+6)

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Solution for 32=8y+2(y+6) equation: 


Simplifying
32 = 8y + 2(y + 6)

Reorder the terms:
32 = 8y + 2(6 + y)
32 = 8y + (6 * 2 + y * 2)
32 = 8y + (12 + 2y)

Reorder the terms:
32 = 12 + 8y + 2y

Combine like terms: 8y + 2y = 10y
32 = 12 + 10y

Solving
32 = 12 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
32 + -10y = 12 + 10y + -10y

Combine like terms: 10y + -10y = 0
32 + -10y = 12 + 0
32 + -10y = 12

Add '-32' to each side of the equation.
32 + -32 + -10y = 12 + -32

Combine like terms: 32 + -32 = 0
0 + -10y = 12 + -32
-10y = 12 + -32

Combine like terms: 12 + -32 = -20
-10y = -20

Divide each side by '-10'.
y = 2

Simplifying
y = 2

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