2(2y+y)=-3(2y-3)

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Solution for 2(2y+y)=-3(2y-3) equation:


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

Combine like terms: 2y + y = 3y
2(3y) = -3(2y + -3)

Remove parenthesis around (3y)
2 * 3y = -3(2y + -3)

Multiply 2 * 3
6y = -3(2y + -3)

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

Solving
6y = 9 + -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.
6y + 6y = 9 + -6y + 6y

Combine like terms: 6y + 6y = 12y
12y = 9 + -6y + 6y

Combine like terms: -6y + 6y = 0
12y = 9 + 0
12y = 9

Divide each side by '12'.
y = 0.75

Simplifying
y = 0.75

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