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Simplifying 3y + 15 + -6y = 9 + -1(9y + 6) Reorder the terms: 15 + 3y + -6y = 9 + -1(9y + 6) Combine like terms: 3y + -6y = -3y 15 + -3y = 9 + -1(9y + 6) Reorder the terms: 15 + -3y = 9 + -1(6 + 9y) 15 + -3y = 9 + (6 * -1 + 9y * -1) 15 + -3y = 9 + (-6 + -9y) Combine like terms: 9 + -6 = 3 15 + -3y = 3 + -9y Solving 15 + -3y = 3 + -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. 15 + -3y + 9y = 3 + -9y + 9y Combine like terms: -3y + 9y = 6y 15 + 6y = 3 + -9y + 9y Combine like terms: -9y + 9y = 0 15 + 6y = 3 + 0 15 + 6y = 3 Add '-15' to each side of the equation. 15 + -15 + 6y = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 6y = 3 + -15 6y = 3 + -15 Combine like terms: 3 + -15 = -12 6y = -12 Divide each side by '6'. y = -2 Simplifying y = -2
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