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

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


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

Reorder the terms:
2(5 + y) = -5y + -46
(5 * 2 + y * 2) = -5y + -46
(10 + 2y) = -5y + -46

Reorder the terms:
10 + 2y = -46 + -5y

Solving
10 + 2y = -46 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
10 + 2y + 5y = -46 + -5y + 5y

Combine like terms: 2y + 5y = 7y
10 + 7y = -46 + -5y + 5y

Combine like terms: -5y + 5y = 0
10 + 7y = -46 + 0
10 + 7y = -46

Add '-10' to each side of the equation.
10 + -10 + 7y = -46 + -10

Combine like terms: 10 + -10 = 0
0 + 7y = -46 + -10
7y = -46 + -10

Combine like terms: -46 + -10 = -56
7y = -56

Divide each side by '7'.
y = -8

Simplifying
y = -8

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