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Simplifying 5y + -4y + -6 = 6y + 15 + 9 Reorder the terms: -6 + 5y + -4y = 6y + 15 + 9 Combine like terms: 5y + -4y = 1y -6 + 1y = 6y + 15 + 9 Reorder the terms: -6 + 1y = 15 + 9 + 6y Combine like terms: 15 + 9 = 24 -6 + 1y = 24 + 6y Solving -6 + 1y = 24 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -6 + 1y + -6y = 24 + 6y + -6y Combine like terms: 1y + -6y = -5y -6 + -5y = 24 + 6y + -6y Combine like terms: 6y + -6y = 0 -6 + -5y = 24 + 0 -6 + -5y = 24 Add '6' to each side of the equation. -6 + 6 + -5y = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -5y = 24 + 6 -5y = 24 + 6 Combine like terms: 24 + 6 = 30 -5y = 30 Divide each side by '-5'. y = -6 Simplifying y = -6
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