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Simplifying -23 + -1(3y + 1) = 3(y + 1) + 3y Reorder the terms: -23 + -1(1 + 3y) = 3(y + 1) + 3y -23 + (1 * -1 + 3y * -1) = 3(y + 1) + 3y -23 + (-1 + -3y) = 3(y + 1) + 3y Combine like terms: -23 + -1 = -24 -24 + -3y = 3(y + 1) + 3y Reorder the terms: -24 + -3y = 3(1 + y) + 3y -24 + -3y = (1 * 3 + y * 3) + 3y -24 + -3y = (3 + 3y) + 3y Combine like terms: 3y + 3y = 6y -24 + -3y = 3 + 6y Solving -24 + -3y = 3 + 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. -24 + -3y + -6y = 3 + 6y + -6y Combine like terms: -3y + -6y = -9y -24 + -9y = 3 + 6y + -6y Combine like terms: 6y + -6y = 0 -24 + -9y = 3 + 0 -24 + -9y = 3 Add '24' to each side of the equation. -24 + 24 + -9y = 3 + 24 Combine like terms: -24 + 24 = 0 0 + -9y = 3 + 24 -9y = 3 + 24 Combine like terms: 3 + 24 = 27 -9y = 27 Divide each side by '-9'. y = -3 Simplifying y = -3
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