3y+30=5y-16

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Solution for 3y+30=5y-16 equation: 


Simplifying
3y + 30 = 5y + -16

Reorder the terms:
30 + 3y = 5y + -16

Reorder the terms:
30 + 3y = -16 + 5y

Solving
30 + 3y = -16 + 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.
30 + 3y + -5y = -16 + 5y + -5y

Combine like terms: 3y + -5y = -2y
30 + -2y = -16 + 5y + -5y

Combine like terms: 5y + -5y = 0
30 + -2y = -16 + 0
30 + -2y = -16

Add '-30' to each side of the equation.
30 + -30 + -2y = -16 + -30

Combine like terms: 30 + -30 = 0
0 + -2y = -16 + -30
-2y = -16 + -30

Combine like terms: -16 + -30 = -46
-2y = -46

Divide each side by '-2'.
y = 23

Simplifying
y = 23

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