y=-4(3y-9)+2(2y+6)

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Solution for y=-4(3y-9)+2(2y+6) equation:


Simplifying
y = -4(3y + -9) + 2(2y + 6)

Reorder the terms:
y = -4(-9 + 3y) + 2(2y + 6)
y = (-9 * -4 + 3y * -4) + 2(2y + 6)
y = (36 + -12y) + 2(2y + 6)

Reorder the terms:
y = 36 + -12y + 2(6 + 2y)
y = 36 + -12y + (6 * 2 + 2y * 2)
y = 36 + -12y + (12 + 4y)

Reorder the terms:
y = 36 + 12 + -12y + 4y

Combine like terms: 36 + 12 = 48
y = 48 + -12y + 4y

Combine like terms: -12y + 4y = -8y
y = 48 + -8y

Solving
y = 48 + -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.
y + 8y = 48 + -8y + 8y

Combine like terms: y + 8y = 9y
9y = 48 + -8y + 8y

Combine like terms: -8y + 8y = 0
9y = 48 + 0
9y = 48

Divide each side by '9'.
y = 5.333333333

Simplifying
y = 5.333333333

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