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Simplifying 5y + 3(y + -8) = 3(y + 2) + -3 Reorder the terms: 5y + 3(-8 + y) = 3(y + 2) + -3 5y + (-8 * 3 + y * 3) = 3(y + 2) + -3 5y + (-24 + 3y) = 3(y + 2) + -3 Reorder the terms: -24 + 5y + 3y = 3(y + 2) + -3 Combine like terms: 5y + 3y = 8y -24 + 8y = 3(y + 2) + -3 Reorder the terms: -24 + 8y = 3(2 + y) + -3 -24 + 8y = (2 * 3 + y * 3) + -3 -24 + 8y = (6 + 3y) + -3 Reorder the terms: -24 + 8y = 6 + -3 + 3y Combine like terms: 6 + -3 = 3 -24 + 8y = 3 + 3y Solving -24 + 8y = 3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -24 + 8y + -3y = 3 + 3y + -3y Combine like terms: 8y + -3y = 5y -24 + 5y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 -24 + 5y = 3 + 0 -24 + 5y = 3 Add '24' to each side of the equation. -24 + 24 + 5y = 3 + 24 Combine like terms: -24 + 24 = 0 0 + 5y = 3 + 24 5y = 3 + 24 Combine like terms: 3 + 24 = 27 5y = 27 Divide each side by '5'. y = 5.4 Simplifying y = 5.4
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