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Simplifying -1(2 + -3y) = 6 + 2y + -1(5 + y) (2 * -1 + -3y * -1) = 6 + 2y + -1(5 + y) (-2 + 3y) = 6 + 2y + -1(5 + y) -2 + 3y = 6 + 2y + (5 * -1 + y * -1) -2 + 3y = 6 + 2y + (-5 + -1y) Reorder the terms: -2 + 3y = 6 + -5 + 2y + -1y Combine like terms: 6 + -5 = 1 -2 + 3y = 1 + 2y + -1y Combine like terms: 2y + -1y = 1y -2 + 3y = 1 + 1y Solving -2 + 3y = 1 + 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. -2 + 3y + -1y = 1 + 1y + -1y Combine like terms: 3y + -1y = 2y -2 + 2y = 1 + 1y + -1y Combine like terms: 1y + -1y = 0 -2 + 2y = 1 + 0 -2 + 2y = 1 Add '2' to each side of the equation. -2 + 2 + 2y = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = 1 + 2 2y = 1 + 2 Combine like terms: 1 + 2 = 3 2y = 3 Divide each side by '2'. y = 1.5 Simplifying y = 1.5
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