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

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


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

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

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

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

Combine like terms: -32 + 4 = -28
-28 + 8y + 2y = -8

Combine like terms: 8y + 2y = 10y
-28 + 10y = -8

Solving
-28 + 10y = -8

Solving for variable 'y'.

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

Add '28' to each side of the equation.
-28 + 28 + 10y = -8 + 28

Combine like terms: -28 + 28 = 0
0 + 10y = -8 + 28
10y = -8 + 28

Combine like terms: -8 + 28 = 20
10y = 20

Divide each side by '10'.
y = 2

Simplifying
y = 2

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