2(y+5)=3y+y-16

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Solution for 2(y+5)=3y+y-16 equation: 


Simplifying
2(y + 5) = 3y + y + -16

Reorder the terms:
2(5 + y) = 3y + y + -16
(5 * 2 + y * 2) = 3y + y + -16
(10 + 2y) = 3y + y + -16

Reorder the terms:
10 + 2y = -16 + 3y + y

Combine like terms: 3y + y = 4y
10 + 2y = -16 + 4y

Solving
10 + 2y = -16 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
10 + 2y + -4y = -16 + 4y + -4y

Combine like terms: 2y + -4y = -2y
10 + -2y = -16 + 4y + -4y

Combine like terms: 4y + -4y = 0
10 + -2y = -16 + 0
10 + -2y = -16

Add '-10' to each side of the equation.
10 + -10 + -2y = -16 + -10

Combine like terms: 10 + -10 = 0
0 + -2y = -16 + -10
-2y = -16 + -10

Combine like terms: -16 + -10 = -26
-2y = -26

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

Simplifying
y = 13

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