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Simplifying 9x + -6y + 15 = 3(3x + -1y + 5) Reorder the terms: 15 + 9x + -6y = 3(3x + -1y + 5) Reorder the terms: 15 + 9x + -6y = 3(5 + 3x + -1y) 15 + 9x + -6y = (5 * 3 + 3x * 3 + -1y * 3) 15 + 9x + -6y = (15 + 9x + -3y) Add '-15' to each side of the equation. 15 + 9x + -15 + -6y = 15 + 9x + -15 + -3y Reorder the terms: 15 + -15 + 9x + -6y = 15 + 9x + -15 + -3y Combine like terms: 15 + -15 = 0 0 + 9x + -6y = 15 + 9x + -15 + -3y 9x + -6y = 15 + 9x + -15 + -3y Reorder the terms: 9x + -6y = 15 + -15 + 9x + -3y Combine like terms: 15 + -15 = 0 9x + -6y = 0 + 9x + -3y 9x + -6y = 9x + -3y Add '-9x' to each side of the equation. 9x + -9x + -6y = 9x + -9x + -3y Combine like terms: 9x + -9x = 0 0 + -6y = 9x + -9x + -3y -6y = 9x + -9x + -3y Combine like terms: 9x + -9x = 0 -6y = 0 + -3y -6y = -3y Solving -6y = -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -6y + 3y = -3y + 3y Combine like terms: -6y + 3y = -3y -3y = -3y + 3y Combine like terms: -3y + 3y = 0 -3y = 0 Divide each side by '-3'. y = 0 Simplifying y = 0
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