13(y-3)=3(4y+9y)-66

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Solution for 13(y-3)=3(4y+9y)-66 equation: 


Simplifying
13(y + -3) = 3(4y + 9y) + -66

Reorder the terms:
13(-3 + y) = 3(4y + 9y) + -66
(-3 * 13 + y * 13) = 3(4y + 9y) + -66
(-39 + 13y) = 3(4y + 9y) + -66

Combine like terms: 4y + 9y = 13y
-39 + 13y = 3(13y) + -66

Remove parenthesis around (13y)
-39 + 13y = 3 * 13y + -66

Multiply 3 * 13
-39 + 13y = 39y + -66

Reorder the terms:
-39 + 13y = -66 + 39y

Solving
-39 + 13y = -66 + 39y

Solving for variable 'y'.

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

Add '-39y' to each side of the equation.
-39 + 13y + -39y = -66 + 39y + -39y

Combine like terms: 13y + -39y = -26y
-39 + -26y = -66 + 39y + -39y

Combine like terms: 39y + -39y = 0
-39 + -26y = -66 + 0
-39 + -26y = -66

Add '39' to each side of the equation.
-39 + 39 + -26y = -66 + 39

Combine like terms: -39 + 39 = 0
0 + -26y = -66 + 39
-26y = -66 + 39

Combine like terms: -66 + 39 = -27
-26y = -27

Divide each side by '-26'.
y = 1.038461538

Simplifying
y = 1.038461538

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