2(4y+5)=-5y-16

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Solution for 2(4y+5)=-5y-16 equation: 


Simplifying
2(4y + 5) = -5y + -16

Reorder the terms:
2(5 + 4y) = -5y + -16
(5 * 2 + 4y * 2) = -5y + -16
(10 + 8y) = -5y + -16

Reorder the terms:
10 + 8y = -16 + -5y

Solving
10 + 8y = -16 + -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 + 8y + 5y = -16 + -5y + 5y

Combine like terms: 8y + 5y = 13y
10 + 13y = -16 + -5y + 5y

Combine like terms: -5y + 5y = 0
10 + 13y = -16 + 0
10 + 13y = -16

Add '-10' to each side of the equation.
10 + -10 + 13y = -16 + -10

Combine like terms: 10 + -10 = 0
0 + 13y = -16 + -10
13y = -16 + -10

Combine like terms: -16 + -10 = -26
13y = -26

Divide each side by '13'.
y = -2

Simplifying
y = -2

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