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Simplifying -6y + 9(2y + -4) = 8 + 3(-8 + -1y) Reorder the terms: -6y + 9(-4 + 2y) = 8 + 3(-8 + -1y) -6y + (-4 * 9 + 2y * 9) = 8 + 3(-8 + -1y) -6y + (-36 + 18y) = 8 + 3(-8 + -1y) Reorder the terms: -36 + -6y + 18y = 8 + 3(-8 + -1y) Combine like terms: -6y + 18y = 12y -36 + 12y = 8 + 3(-8 + -1y) -36 + 12y = 8 + (-8 * 3 + -1y * 3) -36 + 12y = 8 + (-24 + -3y) Combine like terms: 8 + -24 = -16 -36 + 12y = -16 + -3y Solving -36 + 12y = -16 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -36 + 12y + 3y = -16 + -3y + 3y Combine like terms: 12y + 3y = 15y -36 + 15y = -16 + -3y + 3y Combine like terms: -3y + 3y = 0 -36 + 15y = -16 + 0 -36 + 15y = -16 Add '36' to each side of the equation. -36 + 36 + 15y = -16 + 36 Combine like terms: -36 + 36 = 0 0 + 15y = -16 + 36 15y = -16 + 36 Combine like terms: -16 + 36 = 20 15y = 20 Divide each side by '15'. y = 1.333333333 Simplifying y = 1.333333333
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