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

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


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

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

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

Combine like terms: 5y + -8y = -3y
-10 + -3y = -16

Solving
-10 + -3y = -16

Solving for variable 'y'.

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

Add '10' to each side of the equation.
-10 + 10 + -3y = -16 + 10

Combine like terms: -10 + 10 = 0
0 + -3y = -16 + 10
-3y = -16 + 10

Combine like terms: -16 + 10 = -6
-3y = -6

Divide each side by '-3'.
y = 2

Simplifying
y = 2

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