4(y-9)=3(2y-8)

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Solution for 4(y-9)=3(2y-8) equation: 


Simplifying
4(y + -9) = 3(2y + -8)

Reorder the terms:
4(-9 + y) = 3(2y + -8)
(-9 * 4 + y * 4) = 3(2y + -8)
(-36 + 4y) = 3(2y + -8)

Reorder the terms:
-36 + 4y = 3(-8 + 2y)
-36 + 4y = (-8 * 3 + 2y * 3)
-36 + 4y = (-24 + 6y)

Solving
-36 + 4y = -24 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-36 + 4y + -6y = -24 + 6y + -6y

Combine like terms: 4y + -6y = -2y
-36 + -2y = -24 + 6y + -6y

Combine like terms: 6y + -6y = 0
-36 + -2y = -24 + 0
-36 + -2y = -24

Add '36' to each side of the equation.
-36 + 36 + -2y = -24 + 36

Combine like terms: -36 + 36 = 0
0 + -2y = -24 + 36
-2y = -24 + 36

Combine like terms: -24 + 36 = 12
-2y = 12

Divide each side by '-2'.
y = -6

Simplifying
y = -6

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