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

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


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

Reorder the terms:
2(3 + y) = -3y + 16
(3 * 2 + y * 2) = -3y + 16
(6 + 2y) = -3y + 16

Reorder the terms:
6 + 2y = 16 + -3y

Solving
6 + 2y = 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.
6 + 2y + 3y = 16 + -3y + 3y

Combine like terms: 2y + 3y = 5y
6 + 5y = 16 + -3y + 3y

Combine like terms: -3y + 3y = 0
6 + 5y = 16 + 0
6 + 5y = 16

Add '-6' to each side of the equation.
6 + -6 + 5y = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = 16 + -6
5y = 16 + -6

Combine like terms: 16 + -6 = 10
5y = 10

Divide each side by '5'.
y = 2

Simplifying
y = 2

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