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Simplifying 4(6y + -9) + -5y = -3(2 + -8y) + -18 Reorder the terms: 4(-9 + 6y) + -5y = -3(2 + -8y) + -18 (-9 * 4 + 6y * 4) + -5y = -3(2 + -8y) + -18 (-36 + 24y) + -5y = -3(2 + -8y) + -18 Combine like terms: 24y + -5y = 19y -36 + 19y = -3(2 + -8y) + -18 -36 + 19y = (2 * -3 + -8y * -3) + -18 -36 + 19y = (-6 + 24y) + -18 Reorder the terms: -36 + 19y = -6 + -18 + 24y Combine like terms: -6 + -18 = -24 -36 + 19y = -24 + 24y Solving -36 + 19y = -24 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -36 + 19y + -24y = -24 + 24y + -24y Combine like terms: 19y + -24y = -5y -36 + -5y = -24 + 24y + -24y Combine like terms: 24y + -24y = 0 -36 + -5y = -24 + 0 -36 + -5y = -24 Add '36' to each side of the equation. -36 + 36 + -5y = -24 + 36 Combine like terms: -36 + 36 = 0 0 + -5y = -24 + 36 -5y = -24 + 36 Combine like terms: -24 + 36 = 12 -5y = 12 Divide each side by '-5'. y = -2.4 Simplifying y = -2.4
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