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

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


Simplifying
2y + -3(2y + -3) = 2y + -5(3y + -4)

Reorder the terms:
2y + -3(-3 + 2y) = 2y + -5(3y + -4)
2y + (-3 * -3 + 2y * -3) = 2y + -5(3y + -4)
2y + (9 + -6y) = 2y + -5(3y + -4)

Reorder the terms:
9 + 2y + -6y = 2y + -5(3y + -4)

Combine like terms: 2y + -6y = -4y
9 + -4y = 2y + -5(3y + -4)

Reorder the terms:
9 + -4y = 2y + -5(-4 + 3y)
9 + -4y = 2y + (-4 * -5 + 3y * -5)
9 + -4y = 2y + (20 + -15y)

Reorder the terms:
9 + -4y = 20 + 2y + -15y

Combine like terms: 2y + -15y = -13y
9 + -4y = 20 + -13y

Solving
9 + -4y = 20 + -13y

Solving for variable 'y'.

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

Add '13y' to each side of the equation.
9 + -4y + 13y = 20 + -13y + 13y

Combine like terms: -4y + 13y = 9y
9 + 9y = 20 + -13y + 13y

Combine like terms: -13y + 13y = 0
9 + 9y = 20 + 0
9 + 9y = 20

Add '-9' to each side of the equation.
9 + -9 + 9y = 20 + -9

Combine like terms: 9 + -9 = 0
0 + 9y = 20 + -9
9y = 20 + -9

Combine like terms: 20 + -9 = 11
9y = 11

Divide each side by '9'.
y = 1.222222222

Simplifying
y = 1.222222222

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