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

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


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

Reorder the terms:
2(-9 + 4y) = 5(y + -4)
(-9 * 2 + 4y * 2) = 5(y + -4)
(-18 + 8y) = 5(y + -4)

Reorder the terms:
-18 + 8y = 5(-4 + y)
-18 + 8y = (-4 * 5 + y * 5)
-18 + 8y = (-20 + 5y)

Solving
-18 + 8y = -20 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-18 + 8y + -5y = -20 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-18 + 3y = -20 + 5y + -5y

Combine like terms: 5y + -5y = 0
-18 + 3y = -20 + 0
-18 + 3y = -20

Add '18' to each side of the equation.
-18 + 18 + 3y = -20 + 18

Combine like terms: -18 + 18 = 0
0 + 3y = -20 + 18
3y = -20 + 18

Combine like terms: -20 + 18 = -2
3y = -2

Divide each side by '3'.
y = -0.6666666667

Simplifying
y = -0.6666666667

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