6(2y-5)=9(y+4)

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Solution for 6(2y-5)=9(y+4) equation:


Simplifying
6(2y + -5) = 9(y + 4)

Reorder the terms:
6(-5 + 2y) = 9(y + 4)
(-5 * 6 + 2y * 6) = 9(y + 4)
(-30 + 12y) = 9(y + 4)

Reorder the terms:
-30 + 12y = 9(4 + y)
-30 + 12y = (4 * 9 + y * 9)
-30 + 12y = (36 + 9y)

Solving
-30 + 12y = 36 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-30 + 12y + -9y = 36 + 9y + -9y

Combine like terms: 12y + -9y = 3y
-30 + 3y = 36 + 9y + -9y

Combine like terms: 9y + -9y = 0
-30 + 3y = 36 + 0
-30 + 3y = 36

Add '30' to each side of the equation.
-30 + 30 + 3y = 36 + 30

Combine like terms: -30 + 30 = 0
0 + 3y = 36 + 30
3y = 36 + 30

Combine like terms: 36 + 30 = 66
3y = 66

Divide each side by '3'.
y = 22

Simplifying
y = 22

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