6(y+8)-8y=32

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


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

Reorder the terms:
6(8 + y) + -8y = 32
(8 * 6 + y * 6) + -8y = 32
(48 + 6y) + -8y = 32

Combine like terms: 6y + -8y = -2y
48 + -2y = 32

Solving
48 + -2y = 32

Solving for variable 'y'.

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

Add '-48' to each side of the equation.
48 + -48 + -2y = 32 + -48

Combine like terms: 48 + -48 = 0
0 + -2y = 32 + -48
-2y = 32 + -48

Combine like terms: 32 + -48 = -16
-2y = -16

Divide each side by '-2'.
y = 8

Simplifying
y = 8

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