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 = 8
2y = 8

Divide each side by '2'.
y = 4

Simplifying
y = 4

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