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Simplifying 3(y + 8) = -5(3y + -6) + 8y Reorder the terms: 3(8 + y) = -5(3y + -6) + 8y (8 * 3 + y * 3) = -5(3y + -6) + 8y (24 + 3y) = -5(3y + -6) + 8y Reorder the terms: 24 + 3y = -5(-6 + 3y) + 8y 24 + 3y = (-6 * -5 + 3y * -5) + 8y 24 + 3y = (30 + -15y) + 8y Combine like terms: -15y + 8y = -7y 24 + 3y = 30 + -7y Solving 24 + 3y = 30 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 24 + 3y + 7y = 30 + -7y + 7y Combine like terms: 3y + 7y = 10y 24 + 10y = 30 + -7y + 7y Combine like terms: -7y + 7y = 0 24 + 10y = 30 + 0 24 + 10y = 30 Add '-24' to each side of the equation. 24 + -24 + 10y = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 10y = 30 + -24 10y = 30 + -24 Combine like terms: 30 + -24 = 6 10y = 6 Divide each side by '10'. y = 0.6 Simplifying y = 0.6
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