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

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


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

Reorder the terms:
8(-4 + y) = -2(8 + y)
(-4 * 8 + y * 8) = -2(8 + y)
(-32 + 8y) = -2(8 + y)
-32 + 8y = (8 * -2 + y * -2)
-32 + 8y = (-16 + -2y)

Solving
-32 + 8y = -16 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-32 + 8y + 2y = -16 + -2y + 2y

Combine like terms: 8y + 2y = 10y
-32 + 10y = -16 + -2y + 2y

Combine like terms: -2y + 2y = 0
-32 + 10y = -16 + 0
-32 + 10y = -16

Add '32' to each side of the equation.
-32 + 32 + 10y = -16 + 32

Combine like terms: -32 + 32 = 0
0 + 10y = -16 + 32
10y = -16 + 32

Combine like terms: -16 + 32 = 16
10y = 16

Divide each side by '10'.
y = 1.6

Simplifying
y = 1.6

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