5(2-3y)-9y=4(3-2y)

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Solution for 5(2-3y)-9y=4(3-2y) equation: 


Simplifying
5(2 + -3y) + -9y = 4(3 + -2y)
(2 * 5 + -3y * 5) + -9y = 4(3 + -2y)
(10 + -15y) + -9y = 4(3 + -2y)

Combine like terms: -15y + -9y = -24y
10 + -24y = 4(3 + -2y)
10 + -24y = (3 * 4 + -2y * 4)
10 + -24y = (12 + -8y)

Solving
10 + -24y = 12 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
10 + -24y + 8y = 12 + -8y + 8y

Combine like terms: -24y + 8y = -16y
10 + -16y = 12 + -8y + 8y

Combine like terms: -8y + 8y = 0
10 + -16y = 12 + 0
10 + -16y = 12

Add '-10' to each side of the equation.
10 + -10 + -16y = 12 + -10

Combine like terms: 10 + -10 = 0
0 + -16y = 12 + -10
-16y = 12 + -10

Combine like terms: 12 + -10 = 2
-16y = 2

Divide each side by '-16'.
y = -0.125

Simplifying
y = -0.125

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