-8y-46=-2(y-4)

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Solution for -8y-46=-2(y-4) equation:


Simplifying
-8y + -46 = -2(y + -4)

Reorder the terms:
-46 + -8y = -2(y + -4)

Reorder the terms:
-46 + -8y = -2(-4 + y)
-46 + -8y = (-4 * -2 + y * -2)
-46 + -8y = (8 + -2y)

Solving
-46 + -8y = 8 + -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.
-46 + -8y + 2y = 8 + -2y + 2y

Combine like terms: -8y + 2y = -6y
-46 + -6y = 8 + -2y + 2y

Combine like terms: -2y + 2y = 0
-46 + -6y = 8 + 0
-46 + -6y = 8

Add '46' to each side of the equation.
-46 + 46 + -6y = 8 + 46

Combine like terms: -46 + 46 = 0
0 + -6y = 8 + 46
-6y = 8 + 46

Combine like terms: 8 + 46 = 54
-6y = 54

Divide each side by '-6'.
y = -9

Simplifying
y = -9

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