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Simplifying -3(y + 5) = 2y + -1(1 + -1y) Reorder the terms: -3(5 + y) = 2y + -1(1 + -1y) (5 * -3 + y * -3) = 2y + -1(1 + -1y) (-15 + -3y) = 2y + -1(1 + -1y) -15 + -3y = 2y + (1 * -1 + -1y * -1) -15 + -3y = 2y + (-1 + 1y) Reorder the terms: -15 + -3y = -1 + 2y + 1y Combine like terms: 2y + 1y = 3y -15 + -3y = -1 + 3y Solving -15 + -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. -15 + -3y + -3y = -1 + 3y + -3y Combine like terms: -3y + -3y = -6y -15 + -6y = -1 + 3y + -3y Combine like terms: 3y + -3y = 0 -15 + -6y = -1 + 0 -15 + -6y = -1 Add '15' to each side of the equation. -15 + 15 + -6y = -1 + 15 Combine like terms: -15 + 15 = 0 0 + -6y = -1 + 15 -6y = -1 + 15 Combine like terms: -1 + 15 = 14 -6y = 14 Divide each side by '-6'. y = -2.333333333 Simplifying y = -2.333333333
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