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Simplifying 5y + 3(y + -8) = 3y + 2 + -3 Reorder the terms: 5y + 3(-8 + y) = 3y + 2 + -3 5y + (-8 * 3 + y * 3) = 3y + 2 + -3 5y + (-24 + 3y) = 3y + 2 + -3 Reorder the terms: -24 + 5y + 3y = 3y + 2 + -3 Combine like terms: 5y + 3y = 8y -24 + 8y = 3y + 2 + -3 Reorder the terms: -24 + 8y = 2 + -3 + 3y Combine like terms: 2 + -3 = -1 -24 + 8y = -1 + 3y Solving -24 + 8y = -1 + 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 = -1 + 3y + -3y Combine like terms: 8y + -3y = 5y -24 + 5y = -1 + 3y + -3y Combine like terms: 3y + -3y = 0 -24 + 5y = -1 + 0 -24 + 5y = -1 Add '24' to each side of the equation. -24 + 24 + 5y = -1 + 24 Combine like terms: -24 + 24 = 0 0 + 5y = -1 + 24 5y = -1 + 24 Combine like terms: -1 + 24 = 23 5y = 23 Divide each side by '5'. y = 4.6 Simplifying y = 4.6
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