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Simplifying 8y + 3(y + -5) = 5(y + 1) Reorder the terms: 8y + 3(-5 + y) = 5(y + 1) 8y + (-5 * 3 + y * 3) = 5(y + 1) 8y + (-15 + 3y) = 5(y + 1) Reorder the terms: -15 + 8y + 3y = 5(y + 1) Combine like terms: 8y + 3y = 11y -15 + 11y = 5(y + 1) Reorder the terms: -15 + 11y = 5(1 + y) -15 + 11y = (1 * 5 + y * 5) -15 + 11y = (5 + 5y) Solving -15 + 11y = 5 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -15 + 11y + -5y = 5 + 5y + -5y Combine like terms: 11y + -5y = 6y -15 + 6y = 5 + 5y + -5y Combine like terms: 5y + -5y = 0 -15 + 6y = 5 + 0 -15 + 6y = 5 Add '15' to each side of the equation. -15 + 15 + 6y = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 6y = 5 + 15 6y = 5 + 15 Combine like terms: 5 + 15 = 20 6y = 20 Divide each side by '6'. y = 3.333333333 Simplifying y = 3.333333333
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