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Simplifying 5y + 3(y + -8) = 2y + 6 Reorder the terms: 5y + 3(-8 + y) = 2y + 6 5y + (-8 * 3 + y * 3) = 2y + 6 5y + (-24 + 3y) = 2y + 6 Reorder the terms: -24 + 5y + 3y = 2y + 6 Combine like terms: 5y + 3y = 8y -24 + 8y = 2y + 6 Reorder the terms: -24 + 8y = 6 + 2y Solving -24 + 8y = 6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -24 + 8y + -2y = 6 + 2y + -2y Combine like terms: 8y + -2y = 6y -24 + 6y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 -24 + 6y = 6 + 0 -24 + 6y = 6 Add '24' to each side of the equation. -24 + 24 + 6y = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 6y = 6 + 24 6y = 6 + 24 Combine like terms: 6 + 24 = 30 6y = 30 Divide each side by '6'. y = 5 Simplifying y = 5
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