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Simplifying 3y + -5(2y + -6) = 9(2 + -1y) Reorder the terms: 3y + -5(-6 + 2y) = 9(2 + -1y) 3y + (-6 * -5 + 2y * -5) = 9(2 + -1y) 3y + (30 + -10y) = 9(2 + -1y) Reorder the terms: 30 + 3y + -10y = 9(2 + -1y) Combine like terms: 3y + -10y = -7y 30 + -7y = 9(2 + -1y) 30 + -7y = (2 * 9 + -1y * 9) 30 + -7y = (18 + -9y) Solving 30 + -7y = 18 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 30 + -7y + 9y = 18 + -9y + 9y Combine like terms: -7y + 9y = 2y 30 + 2y = 18 + -9y + 9y Combine like terms: -9y + 9y = 0 30 + 2y = 18 + 0 30 + 2y = 18 Add '-30' to each side of the equation. 30 + -30 + 2y = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 2y = 18 + -30 2y = 18 + -30 Combine like terms: 18 + -30 = -12 2y = -12 Divide each side by '2'. y = -6 Simplifying y = -6
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