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Simplifying 8(3y + -4y) + -3(2y + -3) = -24 + -24y Combine like terms: 3y + -4y = -1y 8(-1y) + -3(2y + -3) = -24 + -24y Remove parenthesis around (-1y) 8 * -1y + -3(2y + -3) = -24 + -24y Multiply 8 * -1 -8y + -3(2y + -3) = -24 + -24y Reorder the terms: -8y + -3(-3 + 2y) = -24 + -24y -8y + (-3 * -3 + 2y * -3) = -24 + -24y -8y + (9 + -6y) = -24 + -24y Reorder the terms: 9 + -8y + -6y = -24 + -24y Combine like terms: -8y + -6y = -14y 9 + -14y = -24 + -24y Solving 9 + -14y = -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. 9 + -14y + 24y = -24 + -24y + 24y Combine like terms: -14y + 24y = 10y 9 + 10y = -24 + -24y + 24y Combine like terms: -24y + 24y = 0 9 + 10y = -24 + 0 9 + 10y = -24 Add '-9' to each side of the equation. 9 + -9 + 10y = -24 + -9 Combine like terms: 9 + -9 = 0 0 + 10y = -24 + -9 10y = -24 + -9 Combine like terms: -24 + -9 = -33 10y = -33 Divide each side by '10'. y = -3.3 Simplifying y = -3.3
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