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

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


Simplifying
(3y + 20) = (5 + -1y + -16)

Reorder the terms:
(20 + 3y) = (5 + -1y + -16)

Remove parenthesis around (20 + 3y)
20 + 3y = (5 + -1y + -16)

Reorder the terms:
20 + 3y = (5 + -16 + -1y)

Combine like terms: 5 + -16 = -11
20 + 3y = (-11 + -1y)

Remove parenthesis around (-11 + -1y)
20 + 3y = -11 + -1y

Solving
20 + 3y = -11 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
20 + 3y + y = -11 + -1y + y

Combine like terms: 3y + y = 4y
20 + 4y = -11 + -1y + y

Combine like terms: -1y + y = 0
20 + 4y = -11 + 0
20 + 4y = -11

Add '-20' to each side of the equation.
20 + -20 + 4y = -11 + -20

Combine like terms: 20 + -20 = 0
0 + 4y = -11 + -20
4y = -11 + -20

Combine like terms: -11 + -20 = -31
4y = -31

Divide each side by '4'.
y = -7.75

Simplifying
y = -7.75

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