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Simplifying (y + -3) + -1(y + -2) = 2y Reorder the terms: (-3 + y) + -1(y + -2) = 2y Remove parenthesis around (-3 + y) -3 + y + -1(y + -2) = 2y Reorder the terms: -3 + y + -1(-2 + y) = 2y -3 + y + (-2 * -1 + y * -1) = 2y -3 + y + (2 + -1y) = 2y Reorder the terms: -3 + 2 + y + -1y = 2y Combine like terms: -3 + 2 = -1 -1 + y + -1y = 2y Combine like terms: y + -1y = 0 -1 + 0 = 2y -1 = 2y Solving -1 = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -1 + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -1 + -2y = 0 Add '1' to each side of the equation. -1 + 1 + -2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2y = 0 + 1 -2y = 0 + 1 Combine like terms: 0 + 1 = 1 -2y = 1 Divide each side by '-2'. y = -0.5 Simplifying y = -0.5
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