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Simplifying 9y + 3(9 + -1y) = 6y + -10(y + 5) 9y + (9 * 3 + -1y * 3) = 6y + -10(y + 5) 9y + (27 + -3y) = 6y + -10(y + 5) Reorder the terms: 27 + 9y + -3y = 6y + -10(y + 5) Combine like terms: 9y + -3y = 6y 27 + 6y = 6y + -10(y + 5) Reorder the terms: 27 + 6y = 6y + -10(5 + y) 27 + 6y = 6y + (5 * -10 + y * -10) 27 + 6y = 6y + (-50 + -10y) Reorder the terms: 27 + 6y = -50 + 6y + -10y Combine like terms: 6y + -10y = -4y 27 + 6y = -50 + -4y Solving 27 + 6y = -50 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 27 + 6y + 4y = -50 + -4y + 4y Combine like terms: 6y + 4y = 10y 27 + 10y = -50 + -4y + 4y Combine like terms: -4y + 4y = 0 27 + 10y = -50 + 0 27 + 10y = -50 Add '-27' to each side of the equation. 27 + -27 + 10y = -50 + -27 Combine like terms: 27 + -27 = 0 0 + 10y = -50 + -27 10y = -50 + -27 Combine like terms: -50 + -27 = -77 10y = -77 Divide each side by '10'. y = -7.7 Simplifying y = -7.7
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