3y+27=12y+13

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Solution for 3y+27=12y+13 equation:


Simplifying
3y + 27 = 12y + 13

Reorder the terms:
27 + 3y = 12y + 13

Reorder the terms:
27 + 3y = 13 + 12y

Solving
27 + 3y = 13 + 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.
27 + 3y + -12y = 13 + 12y + -12y

Combine like terms: 3y + -12y = -9y
27 + -9y = 13 + 12y + -12y

Combine like terms: 12y + -12y = 0
27 + -9y = 13 + 0
27 + -9y = 13

Add '-27' to each side of the equation.
27 + -27 + -9y = 13 + -27

Combine like terms: 27 + -27 = 0
0 + -9y = 13 + -27
-9y = 13 + -27

Combine like terms: 13 + -27 = -14
-9y = -14

Divide each side by '-9'.
y = 1.555555556

Simplifying
y = 1.555555556

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