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Simplifying 24y + -1(5y + 6) = 27y + 3 Reorder the terms: 24y + -1(6 + 5y) = 27y + 3 24y + (6 * -1 + 5y * -1) = 27y + 3 24y + (-6 + -5y) = 27y + 3 Reorder the terms: -6 + 24y + -5y = 27y + 3 Combine like terms: 24y + -5y = 19y -6 + 19y = 27y + 3 Reorder the terms: -6 + 19y = 3 + 27y Solving -6 + 19y = 3 + 27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27y' to each side of the equation. -6 + 19y + -27y = 3 + 27y + -27y Combine like terms: 19y + -27y = -8y -6 + -8y = 3 + 27y + -27y Combine like terms: 27y + -27y = 0 -6 + -8y = 3 + 0 -6 + -8y = 3 Add '6' to each side of the equation. -6 + 6 + -8y = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -8y = 3 + 6 -8y = 3 + 6 Combine like terms: 3 + 6 = 9 -8y = 9 Divide each side by '-8'. y = -1.125 Simplifying y = -1.125
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