5(y+2)=3y+16

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


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

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

Reorder the terms:
10 + 5y = 16 + 3y

Solving
10 + 5y = 16 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
10 + 5y + -3y = 16 + 3y + -3y

Combine like terms: 5y + -3y = 2y
10 + 2y = 16 + 3y + -3y

Combine like terms: 3y + -3y = 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 = 6
2y = 6

Divide each side by '2'.
y = 3

Simplifying
y = 3

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