(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)

Remove parenthesis around (30 + 3y)
30 + 3y = (5y + -16)

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

Remove parenthesis around (-16 + 5y)
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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