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Simplifying -28 + -1(3y + 2) = 3(y + 2) + 3y Reorder the terms: -28 + -1(2 + 3y) = 3(y + 2) + 3y -28 + (2 * -1 + 3y * -1) = 3(y + 2) + 3y -28 + (-2 + -3y) = 3(y + 2) + 3y Combine like terms: -28 + -2 = -30 -30 + -3y = 3(y + 2) + 3y Reorder the terms: -30 + -3y = 3(2 + y) + 3y -30 + -3y = (2 * 3 + y * 3) + 3y -30 + -3y = (6 + 3y) + 3y Combine like terms: 3y + 3y = 6y -30 + -3y = 6 + 6y Solving -30 + -3y = 6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -30 + -3y + -6y = 6 + 6y + -6y Combine like terms: -3y + -6y = -9y -30 + -9y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 -30 + -9y = 6 + 0 -30 + -9y = 6 Add '30' to each side of the equation. -30 + 30 + -9y = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -9y = 6 + 30 -9y = 6 + 30 Combine like terms: 6 + 30 = 36 -9y = 36 Divide each side by '-9'. y = -4 Simplifying y = -4
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