4(y+9)=12y-5

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Solution for 4(y+9)=12y-5 equation: 


Simplifying
4(y + 9) = 12y + -5

Reorder the terms:
4(9 + y) = 12y + -5
(9 * 4 + y * 4) = 12y + -5
(36 + 4y) = 12y + -5

Reorder the terms:
36 + 4y = -5 + 12y

Solving
36 + 4y = -5 + 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.
36 + 4y + -12y = -5 + 12y + -12y

Combine like terms: 4y + -12y = -8y
36 + -8y = -5 + 12y + -12y

Combine like terms: 12y + -12y = 0
36 + -8y = -5 + 0
36 + -8y = -5

Add '-36' to each side of the equation.
36 + -36 + -8y = -5 + -36

Combine like terms: 36 + -36 = 0
0 + -8y = -5 + -36
-8y = -5 + -36

Combine like terms: -5 + -36 = -41
-8y = -41

Divide each side by '-8'.
y = 5.125

Simplifying
y = 5.125

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