8(y-2)=3y-46

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Solution for 8(y-2)=3y-46 equation:


Simplifying
8(y + -2) = 3y + -46

Reorder the terms:
8(-2 + y) = 3y + -46
(-2 * 8 + y * 8) = 3y + -46
(-16 + 8y) = 3y + -46

Reorder the terms:
-16 + 8y = -46 + 3y

Solving
-16 + 8y = -46 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-16 + 8y + -3y = -46 + 3y + -3y

Combine like terms: 8y + -3y = 5y
-16 + 5y = -46 + 3y + -3y

Combine like terms: 3y + -3y = 0
-16 + 5y = -46 + 0
-16 + 5y = -46

Add '16' to each side of the equation.
-16 + 16 + 5y = -46 + 16

Combine like terms: -16 + 16 = 0
0 + 5y = -46 + 16
5y = -46 + 16

Combine like terms: -46 + 16 = -30
5y = -30

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

Simplifying
y = -6

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