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Simplifying -28 + -1(3y + -2) = 2(y + -1) + 3y Reorder the terms: -28 + -1(-2 + 3y) = 2(y + -1) + 3y -28 + (-2 * -1 + 3y * -1) = 2(y + -1) + 3y -28 + (2 + -3y) = 2(y + -1) + 3y Combine like terms: -28 + 2 = -26 -26 + -3y = 2(y + -1) + 3y Reorder the terms: -26 + -3y = 2(-1 + y) + 3y -26 + -3y = (-1 * 2 + y * 2) + 3y -26 + -3y = (-2 + 2y) + 3y Combine like terms: 2y + 3y = 5y -26 + -3y = -2 + 5y Solving -26 + -3y = -2 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -26 + -3y + -5y = -2 + 5y + -5y Combine like terms: -3y + -5y = -8y -26 + -8y = -2 + 5y + -5y Combine like terms: 5y + -5y = 0 -26 + -8y = -2 + 0 -26 + -8y = -2 Add '26' to each side of the equation. -26 + 26 + -8y = -2 + 26 Combine like terms: -26 + 26 = 0 0 + -8y = -2 + 26 -8y = -2 + 26 Combine like terms: -2 + 26 = 24 -8y = 24 Divide each side by '-8'. y = -3 Simplifying y = -3
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