(5y-16)=(3y-20)

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Solution for (5y-16)=(3y-20) equation:


Simplifying
(5y + -16) = (3y + -20)

Reorder the terms:
(-16 + 5y) = (3y + -20)

Remove parenthesis around (-16 + 5y)
-16 + 5y = (3y + -20)

Reorder the terms:
-16 + 5y = (-20 + 3y)

Remove parenthesis around (-20 + 3y)
-16 + 5y = -20 + 3y

Solving
-16 + 5y = -20 + 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.
-16 + 5y + -3y = -20 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-16 + 2y = -20 + 3y + -3y

Combine like terms: 3y + -3y = 0
-16 + 2y = -20 + 0
-16 + 2y = -20

Add '16' to each side of the equation.
-16 + 16 + 2y = -20 + 16

Combine like terms: -16 + 16 = 0
0 + 2y = -20 + 16
2y = -20 + 16

Combine like terms: -20 + 16 = -4
2y = -4

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

Simplifying
y = -2

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