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Simplifying 15 + -1(-9(y + -10)) = -3y + -1(y + -5) Reorder the terms: 15 + -1(-9(-10 + y)) = -3y + -1(y + -5) 15 + -1((-10 * -9 + y * -9)) = -3y + -1(y + -5) 15 + -1((90 + -9y)) = -3y + -1(y + -5) 15 + (90 * -1 + -9y * -1) = -3y + -1(y + -5) 15 + (-90 + 9y) = -3y + -1(y + -5) Combine like terms: 15 + -90 = -75 -75 + 9y = -3y + -1(y + -5) Reorder the terms: -75 + 9y = -3y + -1(-5 + y) -75 + 9y = -3y + (-5 * -1 + y * -1) -75 + 9y = -3y + (5 + -1y) Reorder the terms: -75 + 9y = 5 + -3y + -1y Combine like terms: -3y + -1y = -4y -75 + 9y = 5 + -4y Solving -75 + 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. -75 + 9y + 4y = 5 + -4y + 4y Combine like terms: 9y + 4y = 13y -75 + 13y = 5 + -4y + 4y Combine like terms: -4y + 4y = 0 -75 + 13y = 5 + 0 -75 + 13y = 5 Add '75' to each side of the equation. -75 + 75 + 13y = 5 + 75 Combine like terms: -75 + 75 = 0 0 + 13y = 5 + 75 13y = 5 + 75 Combine like terms: 5 + 75 = 80 13y = 80 Divide each side by '13'. y = 6.153846154 Simplifying y = 6.153846154
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