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Simplifying 2 + -3(-1y + 5) = -1(-1y + 2) + 8 Reorder the terms: 2 + -3(5 + -1y) = -1(-1y + 2) + 8 2 + (5 * -3 + -1y * -3) = -1(-1y + 2) + 8 2 + (-15 + 3y) = -1(-1y + 2) + 8 Combine like terms: 2 + -15 = -13 -13 + 3y = -1(-1y + 2) + 8 Reorder the terms: -13 + 3y = -1(2 + -1y) + 8 -13 + 3y = (2 * -1 + -1y * -1) + 8 -13 + 3y = (-2 + 1y) + 8 Reorder the terms: -13 + 3y = -2 + 8 + 1y Combine like terms: -2 + 8 = 6 -13 + 3y = 6 + 1y Solving -13 + 3y = 6 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -13 + 3y + -1y = 6 + 1y + -1y Combine like terms: 3y + -1y = 2y -13 + 2y = 6 + 1y + -1y Combine like terms: 1y + -1y = 0 -13 + 2y = 6 + 0 -13 + 2y = 6 Add '13' to each side of the equation. -13 + 13 + 2y = 6 + 13 Combine like terms: -13 + 13 = 0 0 + 2y = 6 + 13 2y = 6 + 13 Combine like terms: 6 + 13 = 19 2y = 19 Divide each side by '2'. y = 9.5 Simplifying y = 9.5
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