3y+5=12y-20

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Solution for 3y+5=12y-20 equation:


Simplifying
3y + 5 = 12y + -20

Reorder the terms:
5 + 3y = 12y + -20

Reorder the terms:
5 + 3y = -20 + 12y

Solving
5 + 3y = -20 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
5 + 3y + -12y = -20 + 12y + -12y

Combine like terms: 3y + -12y = -9y
5 + -9y = -20 + 12y + -12y

Combine like terms: 12y + -12y = 0
5 + -9y = -20 + 0
5 + -9y = -20

Add '-5' to each side of the equation.
5 + -5 + -9y = -20 + -5

Combine like terms: 5 + -5 = 0
0 + -9y = -20 + -5
-9y = -20 + -5

Combine like terms: -20 + -5 = -25
-9y = -25

Divide each side by '-9'.
y = 2.777777778

Simplifying
y = 2.777777778

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