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Simplifying 3(y + -8) = -2y + -1(y + -1) Reorder the terms: 3(-8 + y) = -2y + -1(y + -1) (-8 * 3 + y * 3) = -2y + -1(y + -1) (-24 + 3y) = -2y + -1(y + -1) Reorder the terms: -24 + 3y = -2y + -1(-1 + y) -24 + 3y = -2y + (-1 * -1 + y * -1) -24 + 3y = -2y + (1 + -1y) Reorder the terms: -24 + 3y = 1 + -2y + -1y Combine like terms: -2y + -1y = -3y -24 + 3y = 1 + -3y Solving -24 + 3y = 1 + -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. -24 + 3y + 3y = 1 + -3y + 3y Combine like terms: 3y + 3y = 6y -24 + 6y = 1 + -3y + 3y Combine like terms: -3y + 3y = 0 -24 + 6y = 1 + 0 -24 + 6y = 1 Add '24' to each side of the equation. -24 + 24 + 6y = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 6y = 1 + 24 6y = 1 + 24 Combine like terms: 1 + 24 = 25 6y = 25 Divide each side by '6'. y = 4.166666667 Simplifying y = 4.166666667
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