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Simplifying 8y + -24 = -5(2 + -3y) Reorder the terms: -24 + 8y = -5(2 + -3y) -24 + 8y = (2 * -5 + -3y * -5) -24 + 8y = (-10 + 15y) Solving -24 + 8y = -10 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -24 + 8y + -15y = -10 + 15y + -15y Combine like terms: 8y + -15y = -7y -24 + -7y = -10 + 15y + -15y Combine like terms: 15y + -15y = 0 -24 + -7y = -10 + 0 -24 + -7y = -10 Add '24' to each side of the equation. -24 + 24 + -7y = -10 + 24 Combine like terms: -24 + 24 = 0 0 + -7y = -10 + 24 -7y = -10 + 24 Combine like terms: -10 + 24 = 14 -7y = 14 Divide each side by '-7'. y = -2 Simplifying y = -2
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