5y+16=2y-5

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Solution for 5y+16=2y-5 equation:


Simplifying
5y + 16 = 2y + -5

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

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

Solving
16 + 5y = -5 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
16 + 5y + -2y = -5 + 2y + -2y

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

Combine like terms: 2y + -2y = 0
16 + 3y = -5 + 0
16 + 3y = -5

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

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

Combine like terms: -5 + -16 = -21
3y = -21

Divide each side by '3'.
y = -7

Simplifying
y = -7

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