9+3(2y-3)=-2(4y-8)+4y

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Solution for 9+3(2y-3)=-2(4y-8)+4y equation:


Simplifying
9 + 3(2y + -3) = -2(4y + -8) + 4y

Reorder the terms:
9 + 3(-3 + 2y) = -2(4y + -8) + 4y
9 + (-3 * 3 + 2y * 3) = -2(4y + -8) + 4y
9 + (-9 + 6y) = -2(4y + -8) + 4y

Combine like terms: 9 + -9 = 0
0 + 6y = -2(4y + -8) + 4y
6y = -2(4y + -8) + 4y

Reorder the terms:
6y = -2(-8 + 4y) + 4y
6y = (-8 * -2 + 4y * -2) + 4y
6y = (16 + -8y) + 4y

Combine like terms: -8y + 4y = -4y
6y = 16 + -4y

Solving
6y = 16 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
6y + 4y = 16 + -4y + 4y

Combine like terms: 6y + 4y = 10y
10y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
10y = 16 + 0
10y = 16

Divide each side by '10'.
y = 1.6

Simplifying
y = 1.6

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