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Simplifying -3(6 + -5y) = 10y + 27 (6 * -3 + -5y * -3) = 10y + 27 (-18 + 15y) = 10y + 27 Reorder the terms: -18 + 15y = 27 + 10y Solving -18 + 15y = 27 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -18 + 15y + -10y = 27 + 10y + -10y Combine like terms: 15y + -10y = 5y -18 + 5y = 27 + 10y + -10y Combine like terms: 10y + -10y = 0 -18 + 5y = 27 + 0 -18 + 5y = 27 Add '18' to each side of the equation. -18 + 18 + 5y = 27 + 18 Combine like terms: -18 + 18 = 0 0 + 5y = 27 + 18 5y = 27 + 18 Combine like terms: 27 + 18 = 45 5y = 45 Divide each side by '5'. y = 9 Simplifying y = 9
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