6(y-5)=2y-46

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Solution for 6(y-5)=2y-46 equation: 


Simplifying
6(y + -5) = 2y + -46

Reorder the terms:
6(-5 + y) = 2y + -46
(-5 * 6 + y * 6) = 2y + -46
(-30 + 6y) = 2y + -46

Reorder the terms:
-30 + 6y = -46 + 2y

Solving
-30 + 6y = -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.
-30 + 6y + -2y = -46 + 2y + -2y

Combine like terms: 6y + -2y = 4y
-30 + 4y = -46 + 2y + -2y

Combine like terms: 2y + -2y = 0
-30 + 4y = -46 + 0
-30 + 4y = -46

Add '30' to each side of the equation.
-30 + 30 + 4y = -46 + 30

Combine like terms: -30 + 30 = 0
0 + 4y = -46 + 30
4y = -46 + 30

Combine like terms: -46 + 30 = -16
4y = -16

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

Simplifying
y = -4

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