5y+20=3(y-4)

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Solution for 5y+20=3(y-4) equation:


Simplifying
5y + 20 = 3(y + -4)

Reorder the terms:
20 + 5y = 3(y + -4)

Reorder the terms:
20 + 5y = 3(-4 + y)
20 + 5y = (-4 * 3 + y * 3)
20 + 5y = (-12 + 3y)

Solving
20 + 5y = -12 + 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.
20 + 5y + -3y = -12 + 3y + -3y

Combine like terms: 5y + -3y = 2y
20 + 2y = -12 + 3y + -3y

Combine like terms: 3y + -3y = 0
20 + 2y = -12 + 0
20 + 2y = -12

Add '-20' to each side of the equation.
20 + -20 + 2y = -12 + -20

Combine like terms: 20 + -20 = 0
0 + 2y = -12 + -20
2y = -12 + -20

Combine like terms: -12 + -20 = -32
2y = -32

Divide each side by '2'.
y = -16

Simplifying
y = -16

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