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Simplifying 10 + -1(-9(y + -5)) = -3y + -1(y + -5) Reorder the terms: 10 + -1(-9(-5 + y)) = -3y + -1(y + -5) 10 + -1((-5 * -9 + y * -9)) = -3y + -1(y + -5) 10 + -1((45 + -9y)) = -3y + -1(y + -5) 10 + (45 * -1 + -9y * -1) = -3y + -1(y + -5) 10 + (-45 + 9y) = -3y + -1(y + -5) Combine like terms: 10 + -45 = -35 -35 + 9y = -3y + -1(y + -5) Reorder the terms: -35 + 9y = -3y + -1(-5 + y) -35 + 9y = -3y + (-5 * -1 + y * -1) -35 + 9y = -3y + (5 + -1y) Reorder the terms: -35 + 9y = 5 + -3y + -1y Combine like terms: -3y + -1y = -4y -35 + 9y = 5 + -4y Solving -35 + 9y = 5 + -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. -35 + 9y + 4y = 5 + -4y + 4y Combine like terms: 9y + 4y = 13y -35 + 13y = 5 + -4y + 4y Combine like terms: -4y + 4y = 0 -35 + 13y = 5 + 0 -35 + 13y = 5 Add '35' to each side of the equation. -35 + 35 + 13y = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 13y = 5 + 35 13y = 5 + 35 Combine like terms: 5 + 35 = 40 13y = 40 Divide each side by '13'. y = 3.076923077 Simplifying y = 3.076923077
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