3y+16=5(y+8)

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Solution for 3y+16=5(y+8) equation: 


Simplifying
3y + 16 = 5(y + 8)

Reorder the terms:
16 + 3y = 5(y + 8)

Reorder the terms:
16 + 3y = 5(8 + y)
16 + 3y = (8 * 5 + y * 5)
16 + 3y = (40 + 5y)

Solving
16 + 3y = 40 + 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.
16 + 3y + -5y = 40 + 5y + -5y

Combine like terms: 3y + -5y = -2y
16 + -2y = 40 + 5y + -5y

Combine like terms: 5y + -5y = 0
16 + -2y = 40 + 0
16 + -2y = 40

Add '-16' to each side of the equation.
16 + -16 + -2y = 40 + -16

Combine like terms: 16 + -16 = 0
0 + -2y = 40 + -16
-2y = 40 + -16

Combine like terms: 40 + -16 = 24
-2y = 24

Divide each side by '-2'.
y = -12

Simplifying
y = -12

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