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Simplifying -3y + 6(1y + 6) = -1 + 3(-8 + -1y) Reorder the terms: -3y + 6(6 + 1y) = -1 + 3(-8 + -1y) -3y + (6 * 6 + 1y * 6) = -1 + 3(-8 + -1y) -3y + (36 + 6y) = -1 + 3(-8 + -1y) Reorder the terms: 36 + -3y + 6y = -1 + 3(-8 + -1y) Combine like terms: -3y + 6y = 3y 36 + 3y = -1 + 3(-8 + -1y) 36 + 3y = -1 + (-8 * 3 + -1y * 3) 36 + 3y = -1 + (-24 + -3y) Combine like terms: -1 + -24 = -25 36 + 3y = -25 + -3y Solving 36 + 3y = -25 + -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 + 3y + 3y = -25 + -3y + 3y Combine like terms: 3y + 3y = 6y 36 + 6y = -25 + -3y + 3y Combine like terms: -3y + 3y = 0 36 + 6y = -25 + 0 36 + 6y = -25 Add '-36' to each side of the equation. 36 + -36 + 6y = -25 + -36 Combine like terms: 36 + -36 = 0 0 + 6y = -25 + -36 6y = -25 + -36 Combine like terms: -25 + -36 = -61 6y = -61 Divide each side by '6'. y = -10.16666667 Simplifying y = -10.16666667
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