2(16-3y)=3(9-y)

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Solution for 2(16-3y)=3(9-y) equation: 


Simplifying
2(16 + -3y) = 3(9 + -1y)
(16 * 2 + -3y * 2) = 3(9 + -1y)
(32 + -6y) = 3(9 + -1y)
32 + -6y = (9 * 3 + -1y * 3)
32 + -6y = (27 + -3y)

Solving
32 + -6y = 27 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
32 + -6y + 3y = 27 + -3y + 3y

Combine like terms: -6y + 3y = -3y
32 + -3y = 27 + -3y + 3y

Combine like terms: -3y + 3y = 0
32 + -3y = 27 + 0
32 + -3y = 27

Add '-32' to each side of the equation.
32 + -32 + -3y = 27 + -32

Combine like terms: 32 + -32 = 0
0 + -3y = 27 + -32
-3y = 27 + -32

Combine like terms: 27 + -32 = -5
-3y = -5

Divide each side by '-3'.
y = 1.666666667

Simplifying
y = 1.666666667

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