10-2(3y-8)=-2(y+8)

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Solution for 10-2(3y-8)=-2(y+8) equation: 


Simplifying
10 + -2(3y + -8) = -2(y + 8)

Reorder the terms:
10 + -2(-8 + 3y) = -2(y + 8)
10 + (-8 * -2 + 3y * -2) = -2(y + 8)
10 + (16 + -6y) = -2(y + 8)

Combine like terms: 10 + 16 = 26
26 + -6y = -2(y + 8)

Reorder the terms:
26 + -6y = -2(8 + y)
26 + -6y = (8 * -2 + y * -2)
26 + -6y = (-16 + -2y)

Solving
26 + -6y = -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.
26 + -6y + 2y = -16 + -2y + 2y

Combine like terms: -6y + 2y = -4y
26 + -4y = -16 + -2y + 2y

Combine like terms: -2y + 2y = 0
26 + -4y = -16 + 0
26 + -4y = -16

Add '-26' to each side of the equation.
26 + -26 + -4y = -16 + -26

Combine like terms: 26 + -26 = 0
0 + -4y = -16 + -26
-4y = -16 + -26

Combine like terms: -16 + -26 = -42
-4y = -42

Divide each side by '-4'.
y = 10.5

Simplifying
y = 10.5

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