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Simplifying 6 + 8y = -5(y + 17) Reorder the terms: 6 + 8y = -5(17 + y) 6 + 8y = (17 * -5 + y * -5) 6 + 8y = (-85 + -5y) Solving 6 + 8y = -85 + -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. 6 + 8y + 5y = -85 + -5y + 5y Combine like terms: 8y + 5y = 13y 6 + 13y = -85 + -5y + 5y Combine like terms: -5y + 5y = 0 6 + 13y = -85 + 0 6 + 13y = -85 Add '-6' to each side of the equation. 6 + -6 + 13y = -85 + -6 Combine like terms: 6 + -6 = 0 0 + 13y = -85 + -6 13y = -85 + -6 Combine like terms: -85 + -6 = -91 13y = -91 Divide each side by '13'. y = -7 Simplifying y = -7
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