-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 = -8y
30 + -8y = 46 + 2y + -2y

Combine like terms: 2y + -2y = 0
30 + -8y = 46 + 0
30 + -8y = 46

Add '-30' to each side of the equation.
30 + -30 + -8y = 46 + -30

Combine like terms: 30 + -30 = 0
0 + -8y = 46 + -30
-8y = 46 + -30

Combine like terms: 46 + -30 = 16
-8y = 16

Divide each side by '-8'.
y = -2

Simplifying
y = -2

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