2(y-5)=5(y+6)-16

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Solution for 2(y-5)=5(y+6)-16 equation: 


Simplifying
2(y + -5) = 5(y + 6) + -16

Reorder the terms:
2(-5 + y) = 5(y + 6) + -16
(-5 * 2 + y * 2) = 5(y + 6) + -16
(-10 + 2y) = 5(y + 6) + -16

Reorder the terms:
-10 + 2y = 5(6 + y) + -16
-10 + 2y = (6 * 5 + y * 5) + -16
-10 + 2y = (30 + 5y) + -16

Reorder the terms:
-10 + 2y = 30 + -16 + 5y

Combine like terms: 30 + -16 = 14
-10 + 2y = 14 + 5y

Solving
-10 + 2y = 14 + 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 = 14 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-10 + -3y = 14 + 5y + -5y

Combine like terms: 5y + -5y = 0
-10 + -3y = 14 + 0
-10 + -3y = 14

Add '10' to each side of the equation.
-10 + 10 + -3y = 14 + 10

Combine like terms: -10 + 10 = 0
0 + -3y = 14 + 10
-3y = 14 + 10

Combine like terms: 14 + 10 = 24
-3y = 24

Divide each side by '-3'.
y = -8

Simplifying
y = -8

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