5(9y-12)=3(4y-9)

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Solution for 5(9y-12)=3(4y-9) equation:


Simplifying
5(9y + -12) = 3(4y + -9)

Reorder the terms:
5(-12 + 9y) = 3(4y + -9)
(-12 * 5 + 9y * 5) = 3(4y + -9)
(-60 + 45y) = 3(4y + -9)

Reorder the terms:
-60 + 45y = 3(-9 + 4y)
-60 + 45y = (-9 * 3 + 4y * 3)
-60 + 45y = (-27 + 12y)

Solving
-60 + 45y = -27 + 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.
-60 + 45y + -12y = -27 + 12y + -12y

Combine like terms: 45y + -12y = 33y
-60 + 33y = -27 + 12y + -12y

Combine like terms: 12y + -12y = 0
-60 + 33y = -27 + 0
-60 + 33y = -27

Add '60' to each side of the equation.
-60 + 60 + 33y = -27 + 60

Combine like terms: -60 + 60 = 0
0 + 33y = -27 + 60
33y = -27 + 60

Combine like terms: -27 + 60 = 33
33y = 33

Divide each side by '33'.
y = 1

Simplifying
y = 1

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