8(y-2)=2y-46

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


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

Reorder the terms:
8(-2 + y) = 2y + -46
(-2 * 8 + y * 8) = 2y + -46
(-16 + 8y) = 2y + -46

Reorder the terms:
-16 + 8y = -46 + 2y

Solving
-16 + 8y = -46 + 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.
-16 + 8y + -2y = -46 + 2y + -2y

Combine like terms: 8y + -2y = 6y
-16 + 6y = -46 + 2y + -2y

Combine like terms: 2y + -2y = 0
-16 + 6y = -46 + 0
-16 + 6y = -46

Add '16' to each side of the equation.
-16 + 16 + 6y = -46 + 16

Combine like terms: -16 + 16 = 0
0 + 6y = -46 + 16
6y = -46 + 16

Combine like terms: -46 + 16 = -30
6y = -30

Divide each side by '6'.
y = -5

Simplifying
y = -5

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