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Simplifying -15 = 8(y + 5) + 3y Reorder the terms: -15 = 8(5 + y) + 3y -15 = (5 * 8 + y * 8) + 3y -15 = (40 + 8y) + 3y Combine like terms: 8y + 3y = 11y -15 = 40 + 11y Solving -15 = 40 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -15 + -11y = 40 + 11y + -11y Combine like terms: 11y + -11y = 0 -15 + -11y = 40 + 0 -15 + -11y = 40 Add '15' to each side of the equation. -15 + 15 + -11y = 40 + 15 Combine like terms: -15 + 15 = 0 0 + -11y = 40 + 15 -11y = 40 + 15 Combine like terms: 40 + 15 = 55 -11y = 55 Divide each side by '-11'. y = -5 Simplifying y = -5
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